NIMCET 2018 Mathematics Question 34 with Solution

Question 34

Mathematics Binomial Theorem Hard

The coefficient of xn in the expansion of (1 - 2x + 3x2 - 4x3 + ... to ∞)-n is

(A) \(\dfrac{(2n)!}{n!(n-1)!}\)

(B) \(\dfrac{(2n)!}{[(n-1)!]^2}\)

(C) \(\dfrac{(2n)!}{(n!)^2}\)

(D) none of these

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Correct Solution: Option C

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