If an=∑r=0n 1 nCr, then ∑r=0n r nCr is equal to

 If an=r=0n1 nCr, then r=0nr nCr is equal to

  1. A

    (n1)an

  2. B

    nan

  3. C

    12nan

  4. D

    None of these

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    Solution:

     Let b=r=0nr nCr=r=0nn(nr) nCr=nr=0n1 nCrr=0nnr nCr

    =nanr=0nnr nCnr nCr=nCnr=nanb2b=nanb=n2an

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