^ 15 C_0 ^5C_5+ ^ 15 C_1 ^5C_4+ ^ 15 C_2 ^5C_3+ ^ 15 C_3 ^5C_2+ ^ 15 C_4 ^5C_1 is equal to

JEE Main Mathematics question

is equal to

Answer: (D)

By Vandermonde's identity the full sum . The given sum lacks the last term , namely

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Question ID VK-021014