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The number of equivalence relations in t...

The number of equivalence relations in the set (1, 2, 3) containing the elements (1, 2) and (2, 1) is :

A

0

B

1

C

2

D

3

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Show that the number of equivalence relation in the set {1,quad 2,quad 3} containing (1,quad 2) and (2,quad 1) is two.

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Knowledge Check

  • The maximum number of equivalence relations on the set A = {1, 2, 3} are

    A
    1
    B
    2
    C
    3
    D
    5

  • The maximum number of equivalence relations on the set A = {1,2,3,4} are

    A
    1
    B
    2
    C
    3
    D
    15

  • If A = {1,2,3,4,} then minimum number of ordered pair added to make it equivalence relation on set A containing (1,3) and (1,2) is

    A
    8
    B
    9
    C
    12
    D
    16

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    Write the smallest equivalence relation on the set A={1,\ 2,\ 3} .

    The maximum number of equivalence relations can be defined on the set A={1,2,3} are

    Consider set A={1,2,3}. Number of symmetric relations that can be defined on A containing the ordered pair (1,2)&(2,1) is

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