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If n and m (ltn) are two positive intege...

If n and m `(ltn)` are two positive integers then `n(n-1)(n-2)...(n-m)`=

A

`(n!)/((m+n)!)`

B

`(n!)/((m-n)!)`

C

`(m!)/((m-n-1)!)`

D

`(n!)/((n-m-1)!)`

Text Solution

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Knowledge Check

  • If m(gtn) and n be two positive integers then product n(n-1)(n-2)……….(n-m) in the factorial form is

    A
    `(n!)/((n-m+1)!)`
    B
    `(n!)/((n-m-1)!)`
    C
    `(n!)/((n+m-1)!)`
    D
    `(n!)/((n+m+1)!)`

  • The greatest positive integer divides (n+1)(n+2)..........(n+r) is

    A
    a) r
    B
    b) r!
    C
    c) (n+r)
    D
    d) (r+1)

  • If n be any integer, then n(n+1) (2n+1) is-

    A
    an odd number
    B
    a perfect square
    C
    divisible by 6
    D
    none of these

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