Isaac Barteaux
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Posts: 1 
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Post by Isaac Barteaux on Jan 15, 2015 15:43:45 GMT -3
Prove que $$ \binom{n}{k} = \binom{n-2}{k} +2\binom{n-2}{k-1}+\binom{n-2}{k-2} $$
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Post by Walner Mendonça on Jan 18, 2015 9:30:53 GMT -3
$$
\binom{n}{k} = \binom{n-1}{k} + \binom{n-1}{k-1} = \binom{n-2}{k} + \binom{n-2}{k-1} + \binom{n-2}{k-1} + \binom{n-2}{k-2} = \binom{n-2}{k} + 2 \binom{n-2}{k-1} + \binom{n-2}{k-2}
$$
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Post by Alexandre Cezar on Jan 18, 2015 10:28:59 GMT -3
Generalizar isso para $p$ deve ser bonito.  |
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