2023 AIME I Problems/Problem 1

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Problem

Note: This is not official (this is only what I remember; to ensure credibility, add a O if you think this has the same meaning as the real problem, X if this has a different meaning as the real problem); please update this with the official problem when it has come out.

There are five men and nine women randomly arranged in a circle. Let $\frac{x}{y}$ be the probability that every man stands diametrically opposite from a woman.

Find $x+y$.

Solutions

Solution 1

Solution 2

Something else

See also

2023 AIME I (ProblemsAnswer KeyResources)
Preceded by
First Question
Followed by
Problem 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions