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How can one show $\frac{m+n-1!}{m ! (n-1)!}$$\leq [\frac{e (m+n-1)}{n}\]^{n-1}$$\displaystyle\frac{(m+n-1)!}{m ! (n-1)!}\leq \left[\frac{e (m+n-1)}{n}\right]^{n-1}$ ?
bound for binomial coeeficient
How can one show $\frac{m+n-1!}{m ! (n-1)!}$$\leq [\frac{e (m+n-1)}{n}\]^{n-1}$ ?
bound for binomial coefficients
How can one show $\displaystyle\frac{(m+n-1)!}{m ! (n-1)!}\leq \left[\frac{e (m+n-1)}{n}\right]^{n-1}$ ?
