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Let n(A) = m and n(B) = n. The total num...

Let n(A) = m and n(B) = n. The total number of non-empty relations that can defined from A to B is

A

`m^(n)`

B

`n^(m) - 1`

C

`mn - 1`

D

`2^(mn) - 1`

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Knowledge Check

  • Let n(A)=m and n(B)=n Then, the total number of non-empty relations that can be defined from A to B is:

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

  • Let A and B infinite sets containing m and n elements respectively. The number of relations that can be defined from A to B is

    A
    nm
    B
    `2^(nm)`
    C
    `2^(m+n)`
    D
    m+n

  • Let n(A)=3 and n(B)=5 , then the number of one - one functions from A to B is

    A
    15
    B
    60
    C
    125
    D
    10

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