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sum(r=0)^m "^(n+r) Cn is equal to...

`sum_(r=0)^m "^(n+r) C_n` is equal to

A

`"^(n+m+1) C_(n+1)`

B

`"^(n+m+2)C_n`

C

`"^(n+m+3) C_(n-1)`

D

none of these

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • What is sum_(r=0)^(1) ""^(n+r)C_(n) equal to ?

    A
    `.^(n+2)C_(1)`
    B
    `.^(n+2)C_(n)`
    C
    `.^(n+3)C_(n)`
    D
    `.^(n+2)C_(n+1)`

  • sum_(r=0)^n 3^r" "^nC_r is equal to

    A
    `4^(n-1)`
    B
    `4^n`
    C
    `4^n/3`
    D
    `3^(n-1)`

  • What is sum_(r=0)^(n) C (n,r) equal to ?

    A
    `2^(n)-1`
    B
    n
    C
    `n!`
    D
    `2^(n)`

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