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Binomial Theorem question

2025 · 4 Apr · Shift 2 · Q38

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2025 · 4 Apr · Shift 2 · Q38

Binomial Theorem question

2025 · 4 Apr · Shift 2 · Q38

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

If

1^2 \cdot\left({ }^{15} C_1\right)+2^2 \cdot\left({ }^{15} C_2\right)+3^2 \cdot\left({ }^{15} C_3\right)+\ldots+15^2 \cdot\left({ }^{15} C_{15}\right)=2^m \cdot 3^n \cdot 5^k

, where

m, n, k \in \mathbf{N}

, then

\mathrm{m}+\mathrm{n}+\mathrm{k}

is equal to :

A
20
B
19
C
18
D
21

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