nswer to 25929 by binome formula (1+x)^(n+m) =Σ_(k=0) ^(k=n+m) C_(n+m) ^k x^k the coefficent of x^n is C_(n+m) ^n and the coefficient of x^m is C_(n+m) ^m but we have for p<n C_n ^p = C_n ^(n−p) >>>>>C_(n+m) ^n = C


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Question Number 25954 by abdo imad last updated on 16/Dec/17

$n s w e r t o 25929 b y b i n o m e f o r m u l a$ ${(1 + x)}^{n + m} = \sum_{k = 0}^{k = n + m} C_{n + m}^{k} x^{k} t h e c o e f f i c e n t o f x^{n} i s$ $C_{n + m}^{n} a n d t h e c o e f f i c i e n t o f x^{m} i s C_{n + m}^{m} b u t w e h a v e f o r$ $p < n C_{n}^{p} = C_{n}^{n - p} >>>>> C_{n + m}^{n} = C_{n + m}^{m} .$
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