Statement -1: \sum_{{r=0}^n(r+1)^n C_r=(n+2) 2}^{n-1}. Statement - 2: \sum_{{r=0}^n(r+1)^n C_r x^r=(1+x)^n+n x(1+x)}^{n-1}. [AIEEE 2008]

Correct Answer is : Statement −1 is true, Statement −2 is true; Statement −2 is a correct explanation for Statement - 1

Statement -1 is false, Statement - 2 is true

Statement -1 is true, Statement -2 is true; Statement -2 is a correct explanation for Statement - 1

Statement -1 is true, Statement -2 is true; Statement -2 is not a correct explanation for Statement - 1

Statement -1 is true, Statement -2 is false

Binomial Theorem Part 1

Section: Mathematics

Question : 82 of 100

Marks: +1, -0

Statement −1:

n−1

∑

r=0n(r+1)nCr=(n+2)2

.
Statement - 2:

n−1

∑

r=0n(r+1)nCrxr=(1+x)n+nx(1+x)

[AIEEE 2008]

Statement −1 is false, Statement - 2 is true
Statement −1 is true, Statement −2 is true; Statement −2 is a correct explanation for Statement - 1
Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement - 1
Statement −1 is true, Statement −2 is false

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