Weighted Binomial Coefficient Sum

Probability Level 4

If the value of (361)+4(364)+7(367)++34(3634)\dbinom{36}{1}+4\dbinom{36}{4}+7\dbinom{36}{7}+\cdots+34\dbinom{36}{34} can be expressed as a×bc+12,a\times b^{c}+12, where aa and bb are prime numbers, then find the value of a+b+c+12.a+b+c+12.

×

Problem Loading...

Note Loading...

Set Loading...