What is the value of C(51, 21)-C(51, 22)+C(51, 23)-C(51, 24)+C(51, 25)-C(51, 26)+C(51, 27)-C(51, 28)+C(51, 29)-C(51, 30)?

NDA 2022 Mathematics question

What is the value of ?

Answer: (C)

Use : , , , and $C(51, 25) =

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Question ID VK-029305