C_4 ^4 +C_4 ^5 +C_4 ^6 +...+C


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Question Number 185350 by cortano1 last updated on 20/Jan/23

$C_{4}^{4} + C_{4}^{5} + C_{4}^{6} + . . . + C_{4}^{26} = ?$
Commented by mr W last updated on 24/Jan/23

$= C_{4 + 1}^{26 + 1} = C_{5}^{27} = 80730$ $g e n e r a l l y :$ $\underset{k = r}{\sum^{n}} C_{r}^{k} = C_{r + 1}^{n + 1}$
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