MCQMediumJEE Main 2025 · 4 April, Shift 2Simple Applications

Mathematics Question from JEE Main 2025 · 4 April, Shift 2

If 12(151)+22(152)+32(153)++152(1515)=2m3n5k,1^2 \cdot \binom{15}{1} + 2^2 \cdot \binom{15}{2} + 3^2 \cdot \binom{15}{3} + \dots + 15^2 \cdot \binom{15}{15} = 2^m \cdot 3^n \cdot 5^k, where m,n,kNm, n, k \in \mathbb{N}, then m+n+km + n + k is equal to:

  • A

    1919

  • B

    2121

  • C

    1818

  • D

    2020

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