Let S_1 = \sum^{10}_{j=1} j (j - 1) ^{10}C_j , S_2 = \sum^{10}_{j=1} j ^{10}C_j , S_3 = \sum^{10}_{j=1} j^2 ^{10}C_j Statement - 1: S_3 = 55 × 2^9 Statement - 2: S_1 = 90 × 28 and S_2 = 10 × 2^8.

Correct Answer is : Statement - 1 is true, Statement - 2 is false

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

Statement - 1 is true, Statement - 2 is false

Statement - 1 is false. Statement - 2 is true

Statement - 1 is true, Statement - 2 is true; Statement - 2 is the correct explanation for Statement - 1.

JEE Mains Model Paper 9

Question : 74 of 90

Marks: +1, -0

Let S1 =

j=1

j (j - 1)

‌

Cj , S2 =

j=1

‌

Cj , S3 =

j=1

‌

Cj
Statement - 1: S3 = 55 × 29
Statement - 2: S1 = 90 × 28 and S2 = 10 × 28.

Statement - 1 is true, Statement - 2 is true; Statement - 2 is not the correct explanation for Statement - 1.
Statement - 1 is true, Statement - 2 is false
Statement - 1 is false. Statement - 2 is true
Statement - 1 is true, Statement - 2 is true; Statement - 2 is the correct explanation for Statement - 1.

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