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Simplify binom{100}{50}/binom{200}{51}*binom{100}{51}/binom{200}{50}

 Dec 14, 2022
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The expression can be simplified by using the fact that binomial coefficients are symmetric, i.e. binom{n}{k} = binom{n}{n-k}. This means that binom{100}{50}/binom{200}{51}*binom{100}{51}/binom{200}{50} can be simplified to binom{100}{50}/binom{200}{50}. Therefore, the simplified expression is binom{100}{50}/binom{200}{50}.

 Dec 14, 2022

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