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Question

The value of C0+3C1+5C2+7C3+....+(2n+1)Cn is equal to :


A

2n

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B

2n+n.2n-1

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C

2n (n+1)

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D

None of these

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Solution

The correct option is C

2n (n+1)


C0+3C1+5C2+7C3+.....

=(C0+C1+C2+)+2(C1+2C2+3C3+)

=2n+2.n.2n1=(n+1)2n


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