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If $m$ and $n$ are positive integers, then value of $^{m} {C_{0}}^{n} C_{k} +^{m} {C_{1}}^{n} C_{k - 1} + \dots +^{m} {C_{k}}^{n} C_{0}$

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Correct option is A

Given expression= number of ways of choosing persons out m menand n women m+nCk

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If m and n are positive integers, then value of mC0nCk+mC1nCk−1+…+mCknC0

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If $m$ and $n$ are positive integers, then value of $^{m} {C_{0}}^{n} C_{k} +^{m} {C_{1}}^{n} C_{k - 1} + \dots +^{m} {C_{k}}^{n} C_{0}$