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The greatest coefficient in the expansio...

The greatest coefficient in the expansion of
`(1+x)^(2n)` is

A

`2 n C_(N) `

B

`2 n C_(n-t) `

C

`2 n C_(n+1) `

D

`2 n C_(2 n-1) `

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • The greatest coefficient in the expansion of (1+x)^(2n+2) is:

    A
    `((2n)!)/((n!)^(2))`
    B
    `((2n+2)!)/([(n+1)!]^(2))`
    C
    `((2n+2)!)/(n!(n+1)!)`
    D
    `((2n)!)/(n!(n+1)!)`

  • The greatest coefficient in the expansion of (1+x)^(24) is

    A
    `24 C_(13) `
    B
    `24 C_(11) `
    C
    `24 C_(24) `
    D
    `24 C_(12) `

  • The greatest coefficient in the expansion of (1+x)^(10) is

    A
    `(10 !)/(5 !. 6 !) `
    B
    `(10 !)/((51)^(2)) `
    C
    `(10 !)/(5 !. 7 !) `
    D
    none of these

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