2000 AIME I Problems/Problem 3
Contents
[hide]Problem
In the expansion of where and are relatively prime positive integers, the coefficients of and are equal. Find .
Solution
Using the binomial theorem, .
Since and are positive relatively prime integers, and , and .
See also
2000 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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