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Results tagged with binomial-coefficients
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user 51427
For questions that explicitly reference the binomial coefficients, Pascal's Triangle, and Binomial identities.
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Combinatorial sum (Author and generalization?)
In a book I have met one interesting equation (without reference):
$$\frac{m!}{n!}\sum_{i=0}^n(-1)^i{n\choose{i}}{x+m+n-i\choose{m}}=\begin{cases}
x+n+1,\, if \,m=n+1
\\
1,\, if \,m=n
\\
…
