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Let A={1,2,3}. Then show that the number...

Let `A={1,2,3}.` Then show that the number of relations containing `(1,2) and (2,3)` which are reflexive and transitive but not symmetric is three.

A

1

B

2

C

3

D

4

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Knowledge Check

  • Let A={1,2,3}. Then the number of relations containing (1,2) and (1,3) which are reflexive and symmetric but not transitive is

    A
    1
    B
    2
    C
    3
    D
    4

  • LetA= {1,2,3} . The number of distinct relations that can be defined over A is

    A
    `2^9`
    B
    6
    C
    8
    D
    none of these

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