The term independent of x in (1+x)m1+1xn, is

The term independent of x in (1+x)m1+1xn, is

  1. A

     m+nCm

  2. B

    m+nCn+1

  3. C

     m+nCmn

  4. D

    None of these

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    Solution:

     Given,(1+x)m1+1xn

    To find Term independent of x

    coefficient of x0 in (1+x)mx+1xn

    coefficient of x0 in (1+x)m+nxn

     Coefficient of xn in (1+x)m+n

     Coefficient of xn in  m+nCrxr

    m+nCn, put r=n

    .'. Term independent of. x =m+nCn or m+nCm

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