Statement 1: The number of terms in the expansion (x+ 1x+1 )^n is 2n+1. Statement 2: The number of terms in the expansion (a_1+a_2+a_3+ +a_m )^n is ^ n+m-1 C_ m-1 .

JEE Main Mathematics question

Statement 1: The number of terms in the expansion is . Statement 2: The number of terms in the expansion is .

(A)Assertion is True, Reason is True; Reason is correct explanation for Assertion
(B)Assertion is True, Reason is True; Reason is not correct explanation for AssertionCorrect
(C)Assertion is True, Reason is False
(D)Assertion is False, Reason is True

Answer: (B)

Statement 2 is true: the terms of correspond to non-negative solutions of , which number . Statement 1 is true: the powers of in

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Question ID VK-021113