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Question

# Let S1=∑10j=1j(j−1)10Cj, S2=∑10j=1j10Cj and S3=∑10j=1j210Cj. Statement -1 S3=55×29 Statement-2 S1=90×28 and S2=10×28

A
Statement-1 is true, Statement-2 is true: Statemnt-2 is not a correct explanation for Statement -1 .
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B
Statement -1 is true, Statement-2 is false .
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C
Statement-1 is false, Statement -2 is false.
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D
Statement-1 is true, Statement 2 is true: Statement -2 is a correct explanation for Statement-1.
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Solution

## The correct option is B Statement -1 is true, Statement-2 is false . S2=∑10j=1j10Cj=∑10j=110 9Cj−1=10[9C0+9C1+9C2+...+9C9]=10.29

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