Home
Class 12
MATHS
If n(A) = 5, then number of relations th...

If n(A) = 5, then number of relations that are both reflexive and symmetric is

A

`2^(10)`

B

`2^(15)`

C

`2^(6)`

D

`2^(20)`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SETS AND RELATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|26 Videos
  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos
  • STATISTICS

    AAKASH SERIES|Exercise EXERCISE-5.3|5 Videos

Similar Questions

Explore conceptually related problems

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.

If n(A) = 4, then number of symmetric relations that can be defined on A is

Knowledge Check

  • If n(A) = 4, then number of relations on A that are not reflexive is

    A
    `2^(16)`
    B
    `2^(12)`
    C
    `15xx2^(12)`
    D
    `17xx2^(12)`
  • If n(A) =5, then number of relations on A that are not symmetric is

    A
    `2^(25)`
    B
    `2^(15)`
    C
    `2^(15)(255)`
    D
    `2^(15)(1023)`
  • If n(A) = 3, then number of reflexive relations that can be defined on A is

    A
    `2^(3)`
    B
    `2^(6)`
    C
    `2^(9)`
    D
    `2^(27)`
  • Similar Questions

    Explore conceptually related problems

    If n(A) = 4, then number of equivalence relations is

    If n(A) = 3, then number of equivalence relations is

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

    If A={1,2,3} the number of reflexive relations in A is

    If a set A has n elements then number of relations defined on A is