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If a set A contains 10 elements and a se...

If a set A contains 10 elements and a set B contains 20 elements then the numbers of functions from A into B is

A

`.^(20)P_(10)`

B

`10xx20`

C

`10^(20)`

D

`20^(10)`

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Knowledge Check

  • Set A contains 3 elements and set B contains 2 elements. The number of onto functions from A onto B is

    A
    3
    B
    6
    C
    8
    D
    9

  • Let A be a set of n distinct elements. Then the total number of distinct functions from A to A is

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

  • A set A contains 4 elements another set B contains 5 elements . If a function from A to B is formed then the probability that the function is one one is

    A
    `(4)/(5)`
    B
    `(24)/(125)`
    C
    `(12)/(125)`
    D
    `(6)/(125)`

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