Difference between revisions of "1999 AIME Problems/Problem 13"
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Revision as of 19:26, 14 October 2007
Problem
Forty teams play a tournament in which every team plays every other team exactly once. No ties occur, and each team has a 
chance of winning any game it plays. The probability that no two teams win the same number of games is 
where 
and 
are relatively prime positive integers. Find 
Solution
See also
| 1999 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
