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2 votes
52 cat owners shoed up for the annual Cat Convention, including the Crazy

Cat lady who owns 50 cats (The crazy cat lady owns more cats than anyone
else at the convention.).
Explain how you can be certain that at least two people have the same
number of cats.

User Bkurzius
by
4.7k points

2 Answers

4 votes

Final answer:

To be certain that at least two people have the same number of cats, we can use the Pigeonhole Principle.

Step-by-step explanation:

To be certain that at least two people have the same number of cats, we can use the Pigeonhole Principle. There are 52 cat owners at the convention, including the Crazy Cat Lady who owns 50 cats. The maximum number of different numbers of cats that the remaining 51 people can own is 51. Since there are more people than different numbers of cats, there must be at least two people who have the same number of cats.

User Notoya
by
4.9k points
5 votes

Answer:

Due to the amount of cat owners, and the fact that the highest amount of cats that one person owns is 50, It means that the probability of two of them having the same number of cats is high.

Correct me if im wrong

I tried

Step-by-step explanation: