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n(A)= m, n (B) = n. The total number of ...

n(A)= m, n (B) = n. The total number of non empty relation from A to B is……..

A

`m^(n)`

B

`n^(m)-1`

C

`mn-1`

D

`2^(mn)-1`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If a set A has m elements and a set B has n elements then the number of relation from a to B is ...........

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

  • If A= {1,2,3...,n} and B ={ a,b} Then , the number of subjection from A into B is .........

    A
    `""^(n)P_2`
    B
    `2^(n)-2`
    C
    `2^(n)-1`
    D
    None of these

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