If _ p=1 ^ n _ m=1 ^ p ( _ k=1 ^ m k ) = a_0n^4 + a_1n^3 + a_2n^2 + a_3n + a_4 then

JEE Advanced Mathematics question

If then

Answer: (B),(C),(D)

Innermost: .

Middle: (hockey-stick identity; or directly ).

Outer: ${}^{p+2} = {}^{

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Question ID VK-110358