The coefficient of x10 in the expansion of (1+x)21+x231+x34 is equal to-

The coefficient of x10 in the expansion of (1+x)21+x231+x34 is equal to-

  1. A

    50

  2. B

    52

  3. C

    44

  4. D

    56

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    Solution:

      =(1+x)21+x231+x34

    =1+x2+2x×1+x6+3x2+3x4×1+4x3+6x6+4x9+x12

    So, coefficient of x10=36+8+8=52

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