Let S_1 = \sum^{10}_{J=4} J (J - 1) ^{10}C_J , S_2 = \sum^{10}_{J=1} J. ^{10}C_3 and S_3 = \sum^{10}_{J=1}J^2. ^{10}C_J Statement 1 : S_3 = 55 × 2^{9} Statement 2 : S_1 = 90 × 2^8 and S_2 = 10 × 2^8

Correct Answer is : Statement 1 is True and Statement 2 is False

Both the statements are True but Statement 2 is the correct explanation of Statement1.

Both the statements are True but Statement 2 is not the correct explanation ofStatement 1.

Statement 1 is True and Statement 2 is False

Statement 1 is False and Statement 2 is True

JEE Mains Model Paper 3

Question : 12 of 90

Marks: +1, -0

Let S1 =

J=4

J (J - 1)

‌

CJ , S2 =

J=1

‌J.

‌

C3 and S3 =

J=1

J2.

‌

CJ
Statement 1 : S3 = 55 × 29
Statement 2 : S1 = 90 × 28 and S2 = 10 × 28

Both the statements are True but Statement 2 is the correct explanation of Statement1.
Both the statements are True but Statement 2 is not the correct explanation ofStatement 1.
Statement 1 is True and Statement 2 is False
Statement 1 is False and Statement 2 is True

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