Question

The coefficient of xⁿ in the expansion of (1 + x)²ⁿ and (1 + x⁾²ⁿ – 1 are in the ratio.

(A) 1 : 2 

(B) 1 : 3 

(C) 3 : 1 

(D) 2 : 1

Answer 1

Answer is (D)

Coefficient of xⁿ in the expansion of (1 + x)²ⁿ = ²ⁿC_n

Coefficient of xⁿ in the expansion of (1 + x)^2n-1 = ^2n-1C_n