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Question

If (1+x)n=C0+C1x++Cnxn, then the value of nr=0ns=0CrCs is equal to

A
2n
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B
22n
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C
2n+1
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D
23n
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Solution

The correct option is B 22n
nr=0ns=0CrCs=nr=0(Crns=0Cs)=(nr=0Cr)(ns=0Cs)=2n2n=22n

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