The coefficient of x53 in ∑m=0100 100Cm(x−5)100−m(4)m is

The coefficient of x53 in m=0100100Cm(x5)100m(4)m is

  1. A

     100C47

  2. B

     100C53

  3. C

    100C53

  4. D

    253

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    Solution:

    m=0100100Cm(x5)100m(4)m=(x5+4)100=(x1)100

     Coefficient of x53 is  100C53(1)47=100C53.

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