Difference between revisions of "1998 AIME Problems/Problem 4"
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== Problem == | == Problem == | ||
| − | Nine tiles are numbered <math>1, 2, 3, \ | + | Nine tiles are numbered <math>1, 2, 3, \cdots, 9,</math> respectively. Each of three players randomly selects and keeps three of the tiles, and sums those three values. The probability that all three players obtain an odd sum is <math>m/n,</math> where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m+n.</math> |
== Solution == | == Solution == | ||
Revision as of 08:40, 27 January 2007
Problem
Nine tiles are numbered 
respectively. Each of three players randomly selects and keeps three of the tiles, and sums those three values. The probability that all three players obtain an odd sum is 
where 
and 
are relatively prime positive integers. Find 
Solution
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