Home
Class 11
MATHS
Set A={a,b,c,d} then the number of defin...

Set A={a,b,c,d} then the number of defined relation in A is

A

24

B

16

C

`4^4`

D

`2^16`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SET,VENN DIAGRAM AND RELATION

    PATHFINDER|Exercise QUESTION BANK|131 Videos

  • SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE

    PATHFINDER|Exercise QUESTION BANK|217 Videos

Similar Questions

Explore conceptually related problems

If A={a,b,c}andB={1,2} , then the number of relations from A to B is

If the number of elements in sets A and B are 3 and 1 respectively then the number of relations from A to B is

Let A ={1,2,3} be a given set. Define a relation on A which is an equivalence relation on A

Let A and B be two sets containing respectively m and n distinct elements. Then number of different relations can be defined from set A to set B is ___

In the set X = {a,b,c,d} which of the following relations represents a function ?

When is a relation R on a set A not reflexive ? Let A {a,b,c,d} and R be a relation on A given by R= {(a,a), (a,c), (c,a) , (c,c), (d,d)}. Is R reflexive on A ?

Find the number of equivalence relations on the set A={a,b,c} containing elements (b,c) and (c,b).

Let S = {a,b,c,d,e} and R be a relation on S defined by, R={(b,a),(b,d),(d,b),(d,d),(e,b)} , find the range.

Let S = {a,b,c,d,e} and R be a relation on S defined by, R={(b,a),(b,d),(d,b),(d,d),(e,b)} , find the domain

Let S = {a,b,c,d,e} and R be a relation on S defined by, R={(b,a),(b,d),(d,b),(d,d),(e,b)} , find the inverse of R.

PATHFINDER-SETS AND RELATIONS-QUESTION BANK
  1. If S={1,2,3,4,….10} be a universal set and A={1,2,5} and B={6,7} then ...

    Text Solution

    |

  2. If aN={ax:x in N(natural number)} then 3N cap 7N is equal to

    Text Solution

    |

  3. Set A={a,b,c,d} then the number of defined relation in A is

    Text Solution

    |

  4. If for two sets A and B,A-B=A then which of the following is true?

    Text Solution

    |

  5. The set of all positive odd numbers divisible by 2 is

    Text Solution

    |

  6. If A and B are two finite sets and n(A)=5,n(B)=6 then the minimum numb...

    Text Solution

    |

  7. If A={(x,y):x^2+y^2=25} and B={(x,y):x^2+9y^2=144} then n(Acap B) is

    Text Solution

    |

  8. A={(x,y) in R^2 : x ne0 and y=(1/x)} and B={(x,y) in R^2:y=-x} then A ...

    Text Solution

    |

  9. If pN={px:x is a natural number} then 4N cap 10N is equal to

    Text Solution

    |

  10. For any two nonempty sets A and B ,(Acup B)' cup (A'cap B) is equal to

    Text Solution

    |

  11. If A={0,1} and B={0,-1} then show that AxxB ne BxxA

    Text Solution

    |

  12. If the ordered pairs (x-2,2y+1) and (y-1,x-2) be equal then find x,y

    Text Solution

    |

  13. If the sets A,B are such that A cup B=B cap A thrn show that A=B

    Text Solution

    |

  14. If A={1,2,3,4} nd B={2,4,6,8} then find n(A cup B)

    Text Solution

    |

  15. Show that n(P(P(P( phi))))=4

    Text Solution

    |

  16. If mRn={(m,n):(m-n) is divisible by 5} then find (3Rn)cap(5Rn)

    Text Solution

    |

  17. If f(x)=3x-5 and x in {-1,0,1,3,4} then find the range of f

    Text Solution

    |

  18. If A={x:x^2=9 and 2x=3} then find set A

    Text Solution

    |

  19. For any set A,B prove that A cap (B-A)=phi

    Text Solution

    |

  20. If A={2,3,5} and B={2,5,6} then (A cap B)xx(A-B)=

    Text Solution

    |