The sum of the series _ r=1 ^ n (-1)^ r-1 ^ n C_r(a-r) is equal to

JEE Advanced Mathematics question

The sum of the series is equal to

Answer: (C)

Split the sum:

(-{}^{n}-r)=a(-{}^{n}-(- {}^{n} .

- From : , so . The first part is . -

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Question ID VK-108349