Statement 1: _ r=0 ^n(r+1) ^nC_r=(n+2)2^ n-1 . Statement 2: _ r=0 ^n(r+1) , ^nC_r x^r=(1+x)^n+nx(1+x)^ n-1 .

JEE Main Mathematics question

Statement 1: . Statement 2: .

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

Answer: (A)

Statement 2: , and , so the sum is ; it is true. Putting in Statement 2 gives

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Question ID VK-020993