Difference between revisions of "2023 AIME I Problems/Problem 1"
(→Problem) |
m (→Problem) |
||
| Line 1: | Line 1: | ||
__TOC__ | __TOC__ | ||
==Problem== | ==Problem== | ||
| − | Five men and nine women stand equally spaced around a circle in random order. The probability that every man stands diametrically opposite a woman is <math>\frac{m}{n}</math>, where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m+n</math> | + | Five men and nine women stand equally spaced around a circle in random order. The probability that every man stands diametrically opposite a woman is <math>\frac{m}{n}</math>, where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m+n.</math> |
==Solutions== | ==Solutions== | ||
Revision as of 08:33, 8 February 2023
Contents
Problem
Five men and nine women stand equally spaced around a circle in random order. The probability that every man stands diametrically opposite a woman is 
, where 
and 
are relatively prime positive integers. Find 
Solutions
191
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 | ||
