If 1^2 ( ^ 15 C_1) + 2^2 ( ^ 15 C_2) + 3^2 ( ^ 15 C_3) + + 15^2 ( ^ 15 C_ 15 ) = 2^m 3^n 5^k, where m, n, k N...

Question

If 1^2 ( ^ 15 C_1) + 2^2 ( ^ 15 C_2) + 3^2 ( ^ 15 C_3) + + 15^2 ( ^ 15 C_ 15 ) = 2^m 3^n 5^k, where m, n, k N , then m + n + k is equal to :

Accepted Answer

(2)

JEE Main 2025 Mathematics question