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Mathematics, 26.07.2019 03:30 jacobwaltom

Suppose the sum \[ \sum_{k = 0}^{49} ( - 1)^k \binom{99}{2k}, \] where \binom{n}{j} = \frac {n! }{j! (n - j)! }, is written in the form a^b, where a and b are integers and b is as large as possible. find a+b.

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Suppose the sum \[ \sum_{k = 0}^{49} ( - 1)^k \binom{99}{2k}, \] where \binom{n}{j} = \frac {n! }{j!...
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