1989 AHSME Problems/Problem 29

Problem

What is the value of the sum $S=\sum_{k=0}^{49}(-1)^k\binom{99}{2k}=\binom{99}{0}-\binom{99}{2}+\binom{99}{4}-\cdots -\binom{99}{98}?$

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1989 AHSME (Problems • Answer Key • Resources)
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