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Question

If S=n=1(nC0+nC1+nC2+....+nCnnPn), then S=

A
2e
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B
2e1
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C
2e+1
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D
None of these
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Solution

The correct option is D None of these
n=1nC0+nC1+...nCnnPn
=1C0+1C11P1+2C0+2C1+2C22P2+...
=211!+222!+233!+...=(1+21!+222!+233!...)1=e21

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