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I was just wondering how you would prove the following:
[tex]\sum_{k=0}^{n}\frac{n!}{k!\left(n-k\right)!}=2^{n}[/tex]
Any help is appreciated.
[tex]\sum_{k=0}^{n}\frac{n!}{k!\left(n-k\right)!}=2^{n}[/tex]
Any help is appreciated.