The value of 30 0 30 10 - 30 1 30 11 + 30 2 30 12 - + 30 20 30 30 is, where nr= ^ n C_ r

JEE Advanced Mathematics question

The value of is, where

Answer: (A)

The sum is . Write and . The coefficient of in the product comes from , i.e.

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Question ID VK-110140