Venn Diagram and Sets Challenge 06

Try this on your own...
A survey of American tourists in Europe was conducted and the following information was gathered:
30 have been to Amsterdam
27 have been to Berlin
35 have been to Copenhagen
16 have been to Amsterdam and Berlin
17 have been to Amsterdam and Copenhagen
13 have been to Berlin and Copenhagen
44 have not been to any of the following three cities: Amsterdam, Berlin and Copenhagen
74 have been to at most one of the following three cities: Amsterdam, Berlin and Copenhagen
a. How many tourists have been to Amsterdam, but not to Berlin or Copenhagen?
b. How many tourists have been to exactly one of the three cities: Amsterdam, Berlin and Copenhagen?
c. How many tourists have been to exactly two of the three cities: Amsterdam, Berlin and Copenhagen?
Ans: a. 7, b. 30, c. 16

[@dietomorrowig1860]

It helped me after 8 years of you uploading, may be it took some time to reach India 😂 nicely explained btw thankyou

[@Coolblueocean2001]

Glad to hear that!

[@mariimims3519]

Thank you so much,,,, you have really helped me to solve the problem on venn diagrams

[@lakshmisrinivas369]

Very Nice,Thanks for uploading such a nice video.

[@Coolblueocean2001]

I am glad that you liked it! Thanks for watching.

[@XxMuzikkxX]

Thanks so much this seriously helped!!

[@renewd]

Thank you for teaching me these methods. I was faced with these types of problems in a geometry book (about dogs, strangely), and after struggling for over an hour, I watched one of your videos, went back and easily solved the problem. On this problem, I did it a different way, but it still worked. I used the rather lengthy equation: 33 - [(17-x) + x + (13-x)] + 25 - [(17-x) + x + (16 -x)] + 27 - [(16-x) + x + (13-x)] = 26. I found the 26 (tourists who had only been to one city) by subtracting the 50 who had not been to any cities from the 76 who had been to at most one city. Now that I have watched this video, I know there may be more efficient options.

[@Coolblueocean2001]

I am glad the video helped. I like the way you solved the problem. Personal methods are always the most meaningful ones.

[@Coolblueocean2001]

Are you a university or a high-school student?

[@renewd]

Yeah, that's when you feel like you are really understanding the concepts.

[@renewd]

Neither. I am doing my own studies. Also, I am tutoring GED students for the math part of the test.

[@Coolblueocean2001]

That is wonderful.

[@israelayoade]

What if the value of U is unknown?

[@amsel125]

Too complicated🤔🤔🤔