Difference between revisions of "2023 AIME I Problems/Problem 1"
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==Problem== | ==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. | ||
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| + | There are five men and nine women randomly arranged in a circle. Let <math>\frac{x}{y}</math> be the probability that every man stands diametrically opposite from a woman. | ||
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| + | Find <math>x+y</math>. | ||
==Solutions== | ==Solutions== | ||
Revision as of 12:15, 8 February 2023
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 
be the probability that every man stands diametrically opposite from a woman.
Find 
.
Solutions
Solution 1
Solution 2
Something else
See also
| 2023 AIME I (Problems • Answer Key • Resources) | ||
| 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 | ||
