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Find the coefficient of x^5 in the expan...

Find the coefficient of `x^5` in the expansion of `(1+x)^(21)+(1+x)^(22)++(1+x)^(30)dot`

A

`""^(35)C_(5)`

B

`""^(9)C_(5)`

C

`""^(31)C_(6)-""^(21)C_(6)`

D

`""^(30)C_(5)+""^(20)C_(5)`

Text Solution

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The correct Answer is:
c
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Knowledge Check

  • The coefficient of x^(6) in the expansion of (1+x)^(21) +(1+x)^(22) + …+ (1+x)^(30) is

    A
    `""^(51)C_(6)`
    B
    `""^(9)C_(6)`
    C
    `""^(31)C_(7)-""^(21)C_(7)`
    D
    `""^(30)C_(6)+""^(20)C_(6)`

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