Exercise 7.3 class 11 maths

Exercise 7.3 class 11 maths
1. How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?
2. How many 4-digit numbers are there with no digit repeated?
3. How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?
4. Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?
5. From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person cannot hold more than one position?
6. Find n if n-1P3: nP3 = 1: 9.
7. Find r if
(i)5Pr = 26Pr-1
(ii) 5Pr = 6Pr-1
8. How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?
. How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if.
(i) 4 letters are used at a time,
(ii) All letters are used at a time,
(iii) all letters are used but first letter is a vowel?
10. In how many of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come together?

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