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Post Closed as "too localized" by Ben Webster♦
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How to simplify this combinatorial expression?$f(m,n)=\binom{m}{m}\binom{n}{1}+\binom{m}{m-1}\binom{n}{2}+\cdots+\binom{m}{2}\binom{n}{m-1}+\binom{m}{1}\binom{n}{m}=?$ Can we simplify the expression above?
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