If 1^2 \cdot ({ }^{15} C_1) +2^2 \cdot ({ }^{15} C_2) +3^2 \cdot ({ }^{15} C_3) +. . .+15^2 \cdot ({ }^{15} C_{15}) =2^m \cdot 3^n \cdot 5^k, where m, n, k \in \mathbb{N}, then m+n+k is equal to : [4 Apr 2025 Shift 2]

JEE Main 4 Apr 2025 Shift 2 Paper

Section: Mathematics

Question : 6 of 75

Marks: +1, -0

If 12⋅(‌15C1)+22⋅(‌15C2)+32⋅(‌15C3)+...+152⋅(‌15C15)=2m⋅3n⋅5k, where m,n,k∈ℕ, then m+n+k is equal to :

[4 Apr 2025 Shift 2]

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