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Number of relations of a set having 5 el...

Number of relations of a set having 5 elements are

A

5

B

25

C

`2^5`

D

`2^25`

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Knowledge Check

  • The number of subsets of a set containing n distinct elements is

    A
    `.^nP_0` + `.^nP_1`+......+`.^nP_n`
    B
    `.^nC_0` + `.^nC_1`+......+`.^nC_n`
    C
    `2^n`
    D
    None of these

  • Total number of relations that can be defined on set A={1,2,3,4} is

    A
    `2^(4)`
    B
    `2^(8)`
    C
    `2^(12)`
    D
    `2^(16)`

  • Total number of relations that can be defined on set A = {a,b,c} is ____

    A
    `2^9`
    B
    `2^6`
    C
    `2^8`
    D
    `2^3`

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