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The coefficients of x^(13) in the expan...

The coefficients of `x^(13)` in the expansion of
` (1 - x)^(5) (1 + x + x^(2) + x^(3) )^(4)` , is

A

24

B

12

C

6

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The coefficient of x^(3) in the expansion of (1-x+x^(2))^(5) is

    A
    `-20`
    B
    `-30`
    C
    `-50`
    D
    10

  • the coefficient of x^(r) in the expansion of (1 - 4x )^(-1//2) , is

    A
    `((2r)1)/((r !)2^(r))`
    B
    `""^(2r)C_(r)`
    C
    `(1.35….. (2r -1))/(2^(r) r!)`
    D
    none of these

  • The coefficient of x^(4) in the expansion of (1-x-2x^(2))^(8) is

    A
    144
    B
    `-144`
    C
    `154`
    D
    `-154`

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    The coefficient of x^(10) in the expansion of (1+x^(2)-x^(3))^(8) is

    The coefficient of x^(5) in the expansion of (1+x^(2))^(5) (1+x)^(4) is

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