Let m, n N and gcd(2, n) = 1. If 30 30 0 +29 30 1 + .+2 30 28 +1 30 29 =n.2^m, then n + m is equal to (Here n...

Question

Let m, n N and gcd(2, n) = 1. If 30 30 0 +29 30 1 + .+2 30 28 +1 30 29 =n.2^m, then n + m is equal to (Here n k = ^nC_k)

Accepted Answer

45

JEE Main 2021 Mathematics question