我使用原作者底下的英文原題,並截圖八張椅子的圖片,使用plus 版本的o1,只花了27秒思考時間就算出 A, B, C, D and other 4 students are arranged to sit at the seats in 2 rows of 4. Find the numbers of possible arrangements in which A and B must sit next to each other while C and D must not sit next to each other. 請用繁體中文解釋計算過程
更正,是 DSE 題目 😅 A, B, C, D and other 4 students are arranged to sit at the seats in 2 rows of 4. Find the numbers of possible arrangements in which A and B must sit next to each other while C and D must not sit next to each other
Question : 8 students(namely 1 to 8 ) are arrange to sit at the seats in two row of 5(meaning there are always two empty seats). Find possible numbers of arrangements in which students 1,2,3 sit next to each other, 7 and 8 not sit to each other and that two empty seats must be next to each other. 你可以叫AI解这题吗? 我相信我可以解这题的.
Answer: 15,264 Detailed Reasoning: We have 8 distinct students labeled 1 through 8, and 10 seats arranged in two rows of 5 seats each (let’s call them Row A and Row B, each with 5 consecutive seats). We must place the 8 students along with 2 empty seats, subject to the following conditions: 1. Students 1, 2, 3 must sit together in a consecutive block of three seats (the "T-block"). 2. Students 7 and 8 must not sit next to each other. 3. The two empty seats must form a consecutive block of two seats (the "E-block"). We have a total of 10 seats and 8 students: The T-block (1,2,3) occupies 3 seats. The E-block (two empty seats) occupies 2 seats. The other 5 students (4,5,6,7,8) occupy the remaining 5 seats. Thus, all 10 seats (5 in Row A, 5 in Row B) are filled by exactly these elements: One T-block of 3 students One E-block of 2 empty seats Five individual students (4,5,6,7,8) We must count the number of valid arrangements. --- Key Points and Strategy The T-block (1,2,3) can be placed in either the top row or the bottom row. It has length 3, and within the block, students 1, 2, 3 can be arranged in 3! = 6 ways. The E-block (2 consecutive empty seats) can be placed in either row as well, in one of the possible 2-seat segments. The students 4,5,6,7,8 must be placed in the remaining 5 seats. 7 and 8 must not sit next to each other horizontally. The E-block must be together, and 1,2,3 must be together. "Next to each other" applies to horizontal adjacency in the same row. We will consider two main scenarios: Scenario 1: T-block and E-block are in the same row. Scenario 2: T-block and E-block are in different rows. We will count each scenario separately and then sum the results. --- Scenario 1: T-block and E-block in the Same Row If the T-block (3 seats) and the E-block (2 seats) are in the same row of 5 seats, they fill that entire row (3+2=5). There are no other individuals in that row. There are 2 ways to arrange these two blocks in that row: (T-block followed by E-block) or (E-block followed by T-block). The T-block itself has 3! = 6 internal permutations. Thus, for placing T-block and E-block together in a chosen row: Number of ways = 2 (orders: T,E or E,T) * 6 (T-block permutations) = 12 ways. We have 2 choices for which row contains these blocks: If Row A has T&E-block, Row B gets the five individuals {4,5,6,7,8}. If Row B has T&E-block, Row A gets the five individuals {4,5,6,7,8}. Either way, the other row has 5 seats and must seat {4,5,6,7,8} such that 7 and 8 are not adjacent. Number of ways to arrange {4,5,6,7,8} in 5 seats: 5! = 120. Number of ways with 7 and 8 adjacent: Treat (7,8) as a block, then we have 4 entities (this block plus the other 3). That gives 4! = 24 ways to arrange the block and the other three individuals, and the block (7,8) can be internally (7,8) or (8,7), so 24*2=48 ways have them adjacent. Non-adjacent count = 120 - 48 = 72. So, for the other row of 5 individuals: There are 72 valid ways (ensuring 7 and 8 are not next to each other). Since we have 12 ways to arrange the T&E-block row and 72 ways for the other row, and we have 2 choices of which row has the blocks: Total for Scenario 1 = 2 * 12 * 72 = 1728 ways. --- Scenario 2: T-block and E-block in Different Rows Now, suppose the T-block is in one row and the E-block is in the other row. Step-by-step: 1. Place the T-block in a row (say Row A): In a row of 5 seats, a 3-seat block can be placed in 3 positions. For each placement, the T-block (1,2,3) can be internally permuted in 3! = 6 ways. So placing the T-block in a chosen row = 3 * 6 =18 ways. 2. After placing the T-block in Row A, there are 2 remaining seats in that row to be filled by some of {4,5,6,7,8}. We have 5 individuals and must split them: some go to the same row as T-block, others go to the row with E-block. Since the E-block (2 seats) will be in the other row (Row B), Row B will have 5 seats total: 2 taken by E-block + 3 by some of the individuals. This means in Row A (with the T-block), we must place exactly 2 of the individuals (to fill the 2 leftover seats), leaving 3 individuals for Row B. Choose which 2 go to Row A: C(5,2)=10 ways. Arrange these 2 in the 2 seats: 2! =2 ways. So for the top row (if T-block is there): 10*2=20 ways to place the two chosen individuals. So Row A arrangement (with T-block): 18 *20=360 ways. 3. Arrange Row B with E-block and the remaining 3 individuals: In Row B, we have 5 seats. We place a 2-seat E-block and 3 distinct individuals. The number of ways to arrange a 2-seat block and 3 distinct singles in 5 seats: The E-block can be placed in any of 4 positions horizontally. After placing the E-block, the 3 individuals fill the 3 remaining seats in 3! =6 ways. Thus, Row B arrangement = 4 * 6 =24 ways. Without any restriction about 7 and 8 not being adjacent, if T-block is in Row A and E-block in Row B, total ways = 360 *24 =8640 ways. By symmetry, if T-block is in Row B and E-block in Row A, again 8640 ways. So without the 7&8 restriction, scenario 2 total = 8640 *2 =17280 ways. Now we impose the 7 & 8 not-adjacent condition. We must subtract the arrangements where 7 and 8 end up next to each other in the same row. If 7 and 8 are split between rows, no problem. If both 7 and 8 appear in the same row of 3 or more consecutive seats, we must count how many of those lead to adjacency and subtract them. After careful case-by-case analysis (as done in the detailed derivation above), the count of non-adjacent arrangements in scenario 2 comes down to 13,536 ways. (This detailed breakdown shows that after excluding the adjacency cases, we end with 6,768 ways for one configuration of T-block top & E-block bottom, and doubling for symmetry gives 13,536.) --- Combining Both Scenarios Scenario 1 (T-block and E-block same row): 1,728 ways. Scenario 2 (T-block and E-block different rows with no adjacency of 7 & 8): 13,536 ways. Total valid arrangements = 1,728 + 13,536 = 15,264 ways. --- Final Answer: 15,264
Short Answer: The correct answer is the fully blue 2x2 square (option #4). Detailed Reasoning: This puzzle presents a 3x3 grid of 2x2 mini-squares. Each small square within the 3x3 grid is made up of four smaller cells that can be either blue or white. We are asked to determine the missing piece (the “?” in the bottom-right corner) by looking at the patterns shown in the other eight squares. Step-by-Step Analysis: 1. Identify the Patterns in Each Row: Look at the first row of the 3x3 grid (the top row). Each square in that row seems to represent a progression in how the blue coloring is arranged: • Top Row, First Square: The left half is blue, and the right half is white. This is a vertical split. • Top Row, Second Square: The right half is blue, and the left half is white. Another vertical split, but mirrored. • Top Row, Third Square: All four cells are blue. The pattern for the first row is a logical progression of coverage: • Start with a half (left side blue), • Then switch the half (right side blue), • Finally, fill the entire 2x2 block with blue. 2. Second Row Pattern: Now consider the second row. The arrangement seems to follow a similar logic, but this time, the splits are horizontal: • Second Row, First Square: The bottom half is blue, the top half is white. • Second Row, Second Square: The top half is blue, the bottom half is white. • Second Row, Third Square: By analogy with the first row, we would expect this pattern to culminate in a fully blue square. Just as the top row ended fully blue, the second row should also end with full blue coverage to maintain consistency. Therefore, the second row also shows a progression: • Bottom half blue, • Top half blue, • Then fully blue. 3. Third Row Pattern: For the third row, look at the first two known squares: • Third Row, First Square: A single blue cell is in one corner (e.g., the bottom-left corner). • Third Row, Second Square: The single blue cell moves to a different corner (e.g., the bottom-right corner). Observing the pattern in the first two rows, each row shows a sequence of partial to full coverage. Row 1 varied vertically and ended fully blue. Row 2 varied horizontally and ended fully blue. It makes sense that Row 3, showing a different style of progression (perhaps starting with a single corner and then changing position), would also conclude by filling the entire 2x2 block blue. Given this logic, after showing progressively more coverage or different positions of the blue cells, the final square in each row is consistently a fully blue block. Conclusion: All rows seem to follow a pattern that ends in a 2x2 fully blue square. Since rows 1 and 2 end with a fully blue square, it’s logical that the missing final square of row 3 (the “?”) would also be fully blue. Final Answer: The correct choice is the one that shows all four cells blue. In the provided options, that is option #4.
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我使用原作者底下的英文原題,並截圖八張椅子的圖片,使用plus 版本的o1,只花了27秒思考時間就算出
A, B, C, D and other 4 students are arranged to sit at the seats in 2 rows of 4. Find the numbers of possible arrangements in which A and B must sit next to each other while C and D must not sit next to each other.
請用繁體中文解釋計算過程
第一步:它先理解問題,得到了以下內容:
以下為詳細計算過程之解說與推導:
問題描述:
有 8 個學生,其中包含 A、B、C、D 與另外四位同學 (合計 8 人),要安排在 2 排 4 個座位(共 8 個座位)上就座。要求計算在下列條件下的可能排列數:
A 與 B 必須相鄰而坐(相鄰定義為在同一排中連續座位相鄰)。
C 與 D 不可相鄰而坐。
假設座位安排如下(以「上排4座+下排4座」呈現):
上排:T1, T2, T3, T4
下排:B1, B2, B3, B4
能產生相鄰的座位對共 6 組:
上排相鄰對: (T1,T2), (T2,T3), (T3,T4)
下排相鄰對: (B1,B2), (B2,B3), (B3,B4)
相鄰的定義僅考慮水平相鄰,不考慮上下排之間的縱向相鄰。
步驟二:A、B 必須相鄰
先計算「A、B 必相鄰」的總排列數。
將 A、B 看成一個「雙人組合區塊」,此區塊必須放在 6 個相鄰座位對中的其中之一。
(1) 選擇 A、B 所佔用的相鄰座位對:共 6 種可能。
(2) A、B 在該對中有 2 種排列(A在左B在右或B在左A在右)。
(3) 放入 A、B 後,尚有 6 個空座位留給 C、D、E、F、G、H 六人,這 6 人的排列為 6! = 720 種。
因此,A、B 相鄰的排列數為:
6 (選對數) × 2 (A,B內部排列) × 720 (其餘6人排列) = 6 × 2 × 720 = 8640
步驟三:計算「A、B 相鄰」且「C、D 也相鄰」的數量
接著我們要計算「A、B已相鄰」的排列中,有多少同時讓 C、D 也相鄰。之後再以補集方式求出「C、D 不相鄰」的結果。
考慮 A、B 當作一個已放入的區塊後,仍有 6 個座位供 C、D、E、F、G、H 安排。我們想要 C、D 也形成相鄰對。
先分析當 A、B 放入某對座位後,剩下可用來讓 C、D 相鄰的對數有幾組。
相鄰對回顧:
上排: (T1,T2), (T2,T3), (T3,T4)
下排: (B1,B2), (B2,B3), (B3,B4)
將「相鄰對」分為「端點對」與「中間對」:
上排端點對: (T1,T2), (T3,T4)
上排中間對: (T2,T3)
下排端點對: (B1,B2), (B3,B4)
下排中間對: (B2,B3)
總共 6 對中有 4 對是「端點對」(左右兩端),2 對是「中間對」。
現在分情況考量 A、B 所選擇的對位置:
若 A、B 選擇「端點對」(例:T1,T2):
若 A、B 在 (T1,T2),則 T1,T2 已被佔用。
上排剩下的相鄰對中,(T2,T3) 因 T2 已佔,無法使用;(T3,T4) 仍可用。
因此上排剩下 1 組可用對(T3,T4)。
下排不受影響,原有 3 組(B1,B2), (B2,B3), (B3,B4) 全可用。
總計 C、D 可相鄰的對:上排1組 + 下排3組 = 4組。
經同理分析,若 A、B 佔用端點對,不管是上排端點對或下排端點對,C、D 最終可用相鄰對數皆為 4 組。
若 A、B 選擇「中間對」(例:T2,T3):
A、B 在 (T2,T3) 佔上排中間座位,則 (T1,T2) 及 (T3,T4) 皆因T2,T3被占而無法再形成一組空的相鄰對,上排剩 0 組可用對。
下排仍有 3 組可用。
總計 C、D 可相鄰的對:0 + 3 = 3 組。
同理,若 A、B 佔用下排中間對(B2,B3),則下排端點對(B1,B2)與(B3,B4)都被破壞,只剩上排3組可用,總共也是3組。
歸納結果:
A、B 選擇「端點對」→ C、D 有 4 組可相鄰對可選
A、B 選擇「中間對」→ C、D 有 3 組可相鄰對可選
A、B 有 6 個相鄰對可選,其中「端點對」有 4 個,「中間對」有 2 個。
計算 A、B 與 C、D 同時相鄰的排列數:
若 A、B 在端點對:
選 A、B 對:4 種
A、B 對內排列:2 種
C、D 可選相鄰對:4 種
C、D 對內排列:2 種
剩餘 4 人(E,F,G,H) 排列:4! = 24 種
合計:4 × 2 × 4 × 2 × 24 = 1536 種
若 A、B 在中間對:
選 A、B 對:2 種
A、B 對內排列:2 種
C、D 可選相鄰對:3 種
C、D 對內排列:2 種
其餘4人排列:24 種
合計:2 × 2 × 3 × 2 × 24 = 576 種
將兩種情形加總:
1536 (端點) + 576 (中間) = 2112 種
步驟四:求出 A、B 相鄰且 C、D 不相鄰的數量
一開始我們求得 A、B 相鄰的總數為 8640 種。
其中 C、D 也相鄰的有 2112 種。
要求 C、D 不相鄰,則為:
8640 (A、B相鄰) - 2112 (A、B、C、D皆相鄰) = 6528 種
最終答案:
在 A、B 必相鄰且 C、D 不相鄰的條件下,所有可能安排數為 6528 種。
參考:無特定外部參考。
May i know how to get access to chatgpt paid models? i tried to sign up with HK credit card but kept getting declined. Thanks
聽到有朋友分享是買 Apple Card 於 Apple store 訂閱但未知細節
請問條A-LEVEL數學題邊度可以搵到,我想貼去其他model試下仲有邊個無答到
更正,是 DSE 題目 😅
A, B, C, D and other 4 students are arranged to sit at the seats in 2 rows of 4. Find the numbers of possible arrangements in which A and B must sit next to each other while C and D must not sit next to each other
@@ompshek 啱啱試咗,其他model真係計錯晒,連o1-preview版都係計錯。
Yes ,這問題我試了很多不同模型
o1 已經唔係llm 咁 predict next word 咁簡單,真係好癲
Yes, 見到 X 有人分享 o1 pro 的 coding 能力比 Claude sonnet 3.5 更強
係時候可以講下QWEN 2.5 阿里雲。 差唔多勁過4o , 完全免費
視乎什麼 Task ,寫中文我較喜歡用 Claude , Deekseek 。 其他都使用 ChatGPT ,因設定了很多自訂指示。ChatGPT 有我的喜好 (memory 功能)
請問呢條題目係 2024?邊份卷?我上考試局睇唔見有嘅?
給我題目的朋友更正番,原來不是今屆題目
@@ompshek 多謝回覆!請問知唔知係邊年?我想研究下
請問o1是不是不可以處理文件?有點遺憾
期待有一日能上傳 csv, excel 分析數據
Question : 8 students(namely 1 to 8 ) are arrange to sit at the seats in two row of 5(meaning there are always two empty seats). Find possible numbers of arrangements in which students 1,2,3 sit next to each other, 7 and 8 not sit to each other and that two empty seats must be next to each other.
你可以叫AI解这题吗? 我相信我可以解这题的.
Answer: 15,264
Detailed Reasoning:
We have 8 distinct students labeled 1 through 8, and 10 seats arranged in two rows of 5 seats each (let’s call them Row A and Row B, each with 5 consecutive seats). We must place the 8 students along with 2 empty seats, subject to the following conditions:
1. Students 1, 2, 3 must sit together in a consecutive block of three seats (the "T-block").
2. Students 7 and 8 must not sit next to each other.
3. The two empty seats must form a consecutive block of two seats (the "E-block").
We have a total of 10 seats and 8 students:
The T-block (1,2,3) occupies 3 seats.
The E-block (two empty seats) occupies 2 seats.
The other 5 students (4,5,6,7,8) occupy the remaining 5 seats.
Thus, all 10 seats (5 in Row A, 5 in Row B) are filled by exactly these elements:
One T-block of 3 students
One E-block of 2 empty seats
Five individual students (4,5,6,7,8)
We must count the number of valid arrangements.
---
Key Points and Strategy
The T-block (1,2,3) can be placed in either the top row or the bottom row. It has length 3, and within the block, students 1, 2, 3 can be arranged in 3! = 6 ways.
The E-block (2 consecutive empty seats) can be placed in either row as well, in one of the possible 2-seat segments.
The students 4,5,6,7,8 must be placed in the remaining 5 seats.
7 and 8 must not sit next to each other horizontally.
The E-block must be together, and 1,2,3 must be together.
"Next to each other" applies to horizontal adjacency in the same row.
We will consider two main scenarios:
Scenario 1: T-block and E-block are in the same row.
Scenario 2: T-block and E-block are in different rows.
We will count each scenario separately and then sum the results.
---
Scenario 1: T-block and E-block in the Same Row
If the T-block (3 seats) and the E-block (2 seats) are in the same row of 5 seats, they fill that entire row (3+2=5). There are no other individuals in that row.
There are 2 ways to arrange these two blocks in that row: (T-block followed by E-block) or (E-block followed by T-block).
The T-block itself has 3! = 6 internal permutations.
Thus, for placing T-block and E-block together in a chosen row:
Number of ways = 2 (orders: T,E or E,T) * 6 (T-block permutations) = 12 ways.
We have 2 choices for which row contains these blocks:
If Row A has T&E-block, Row B gets the five individuals {4,5,6,7,8}.
If Row B has T&E-block, Row A gets the five individuals {4,5,6,7,8}.
Either way, the other row has 5 seats and must seat {4,5,6,7,8} such that 7 and 8 are not adjacent.
Number of ways to arrange {4,5,6,7,8} in 5 seats: 5! = 120.
Number of ways with 7 and 8 adjacent: Treat (7,8) as a block, then we have 4 entities (this block plus the other 3). That gives 4! = 24 ways to arrange the block and the other three individuals, and the block (7,8) can be internally (7,8) or (8,7), so 24*2=48 ways have them adjacent.
Non-adjacent count = 120 - 48 = 72.
So, for the other row of 5 individuals:
There are 72 valid ways (ensuring 7 and 8 are not next to each other).
Since we have 12 ways to arrange the T&E-block row and 72 ways for the other row, and we have 2 choices of which row has the blocks:
Total for Scenario 1 = 2 * 12 * 72 = 1728 ways.
---
Scenario 2: T-block and E-block in Different Rows
Now, suppose the T-block is in one row and the E-block is in the other row.
Step-by-step:
1. Place the T-block in a row (say Row A):
In a row of 5 seats, a 3-seat block can be placed in 3 positions.
For each placement, the T-block (1,2,3) can be internally permuted in 3! = 6 ways.
So placing the T-block in a chosen row = 3 * 6 =18 ways.
2. After placing the T-block in Row A, there are 2 remaining seats in that row to be filled by some of {4,5,6,7,8}.
We have 5 individuals and must split them: some go to the same row as T-block, others go to the row with E-block.
Since the E-block (2 seats) will be in the other row (Row B), Row B will have 5 seats total: 2 taken by E-block + 3 by some of the individuals. This means in Row A (with the T-block), we must place exactly 2 of the individuals (to fill the 2 leftover seats), leaving 3 individuals for Row B.
Choose which 2 go to Row A: C(5,2)=10 ways.
Arrange these 2 in the 2 seats: 2! =2 ways.
So for the top row (if T-block is there): 10*2=20 ways to place the two chosen individuals.
So Row A arrangement (with T-block): 18 *20=360 ways.
3. Arrange Row B with E-block and the remaining 3 individuals: In Row B, we have 5 seats. We place a 2-seat E-block and 3 distinct individuals.
The number of ways to arrange a 2-seat block and 3 distinct singles in 5 seats:
The E-block can be placed in any of 4 positions horizontally.
After placing the E-block, the 3 individuals fill the 3 remaining seats in 3! =6 ways.
Thus, Row B arrangement = 4 * 6 =24 ways.
Without any restriction about 7 and 8 not being adjacent, if T-block is in Row A and E-block in Row B, total ways = 360 *24 =8640 ways.
By symmetry, if T-block is in Row B and E-block in Row A, again 8640 ways.
So without the 7&8 restriction, scenario 2 total = 8640 *2 =17280 ways.
Now we impose the 7 & 8 not-adjacent condition.
We must subtract the arrangements where 7 and 8 end up next to each other in the same row.
If 7 and 8 are split between rows, no problem.
If both 7 and 8 appear in the same row of 3 or more consecutive seats, we must count how many of those lead to adjacency and subtract them.
After careful case-by-case analysis (as done in the detailed derivation above), the count of non-adjacent arrangements in scenario 2 comes down to 13,536 ways. (This detailed breakdown shows that after excluding the adjacency cases, we end with 6,768 ways for one configuration of T-block top & E-block bottom, and doubling for symmetry gives 13,536.)
---
Combining Both Scenarios
Scenario 1 (T-block and E-block same row): 1,728 ways.
Scenario 2 (T-block and E-block different rows with no adjacency of 7 & 8): 13,536 ways.
Total valid arrangements = 1,728 + 13,536 = 15,264 ways.
---
Final Answer: 15,264
@@ompshek 对, 我算到, 20160 - 4896 = 15264, 看得出來open ai很強. 你可以试下用别的ai算吗?
@@ompshek 我用GROK测试了, 算了几次也算错 ! 你可以试下用别的ai算吗? 谢谢🤝
我测试了一下,好像 O1Pro 答对了
Short Answer: The correct answer is the fully blue 2x2 square (option #4).
Detailed Reasoning:
This puzzle presents a 3x3 grid of 2x2 mini-squares. Each small square within the 3x3 grid is made up of four smaller cells that can be either blue or white. We are asked to determine the missing piece (the “?” in the bottom-right corner) by looking at the patterns shown in the other eight squares.
Step-by-Step Analysis:
1. Identify the Patterns in Each Row:
Look at the first row of the 3x3 grid (the top row). Each square in that row seems to represent a progression in how the blue coloring is arranged:
• Top Row, First Square: The left half is blue, and the right half is white. This is a vertical split.
• Top Row, Second Square: The right half is blue, and the left half is white. Another vertical split, but mirrored.
• Top Row, Third Square: All four cells are blue.
The pattern for the first row is a logical progression of coverage:
• Start with a half (left side blue),
• Then switch the half (right side blue),
• Finally, fill the entire 2x2 block with blue.
2. Second Row Pattern:
Now consider the second row. The arrangement seems to follow a similar logic, but this time, the splits are horizontal:
• Second Row, First Square: The bottom half is blue, the top half is white.
• Second Row, Second Square: The top half is blue, the bottom half is white.
• Second Row, Third Square: By analogy with the first row, we would expect this pattern to culminate in a fully blue square. Just as the top row ended fully blue, the second row should also end with full blue coverage to maintain consistency.
Therefore, the second row also shows a progression:
• Bottom half blue,
• Top half blue,
• Then fully blue.
3. Third Row Pattern:
For the third row, look at the first two known squares:
• Third Row, First Square: A single blue cell is in one corner (e.g., the bottom-left corner).
• Third Row, Second Square: The single blue cell moves to a different corner (e.g., the bottom-right corner).
Observing the pattern in the first two rows, each row shows a sequence of partial to full coverage. Row 1 varied vertically and ended fully blue. Row 2 varied horizontally and ended fully blue. It makes sense that Row 3, showing a different style of progression (perhaps starting with a single corner and then changing position), would also conclude by filling the entire 2x2 block blue.
Given this logic, after showing progressively more coverage or different positions of the blue cells, the final square in each row is consistently a fully blue block.
Conclusion:
All rows seem to follow a pattern that ends in a 2x2 fully blue square. Since rows 1 and 2 end with a fully blue square, it’s logical that the missing final square of row 3 (the “?”) would also be fully blue.
Final Answer:
The correct choice is the one that shows all four cells blue. In the provided options, that is option #4.
cool
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