Home
Class 11
MATHS
The number of relations that can be defi...

The number of relations that can be defined on the set {x,y,z} is:

A

9

B

`2^9`

C

`2^9 - 1`

D

`2^3 -1`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    JBD PUBLICATION|Exercise EXAMPLE|35 Videos

  • PROBABILITY

    JBD PUBLICATION|Exercise EXAMPLE|71 Videos

  • SEQUENCES AND SERIES

    JBD PUBLICATION|Exercise EXAMPLE|54 Videos

Similar Questions

Explore conceptually related problems

Write the number of symmetric relations that can be defined on the set {0}

The number of equivalence relations that can be defined on set {a, b, c}, is

Fill in the blank: The number of relations that can be defined from set A = (1,2,3) to the set B = (a,b,c) is ______

Let A be a finite set containing n distinct elements. The number of relations that can be defined from A to A is (a) 2^n (b) n^2 (c) 2^(n^2) (d) None of these

If A and B are finite sets containing respectivley m and n elements, then find the number of relatiosn that can be defined form A to B.

Let A be a finite set containing n distinct elements. The number of functions that can defined from A to A is

Write down the number of commutaive binary operations that can be defined on the set (1,2).

Set A has 3 elements and the set B has 4 elements. Then the number of injective mapping that can be defined from A to B is

Fill in the blank: The total number of injective functions that can be defined form a set A contaiing n distinct elements onto itself is _______.

JBD PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. The number of relations that can be defined on the set {x,y,z} is:

    Text Solution

    |

  2. Let A={1,2,3}, B={2,3,4} and C={4,5,6}.verify that: Axx(BcapC)=(AxxB)c...

    Text Solution

    |

  3. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(BcupC)=(AxxB)c...

    Text Solution

    |

  4. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(B-C)=(AxxB)-(A...

    Text Solution

    |

  5. Let A={2,3}, B={1,2,3,4}. Verify that AxxA=(AxxB)cap(BxxA).

    Text Solution

    |

  6. Find the domain of the function:f(x)=(x^2-3x+2)/(x^2+x-6)

    Text Solution

    |

  7. Let f= {(x, x^2/(1+x^2)): x in R} be a function from R into R. Determi...

    Text Solution

    |

  8. Find the range of the following functions: f(x)=1+3 cos2x

    Text Solution

    |

  9. Find the range of the following functions: f(x)=1-|x-2|

    Text Solution

    |

  10. Find the range of the following functions: f(x)=3/(2-x^2).

    Text Solution

    |

  11. Find the domain and range of the following real function:- f(x) = -|x...

    Text Solution

    |

  12. Find the domain and range of the following functions: f(x)=sqrt(16-x^2...

    Text Solution

    |

  13. Find the domain and range of the following functions: f(x)=sqrt(x-3)

    Text Solution

    |

  14. Find the domain and range of the following functions: f(x)=|x-3|

    Text Solution

    |

  15. If f(x)=(x-1)/(x+1), then show that f(1/x)=-f(x)

    Text Solution

    |

  16. If f(x)=(x-1)/(x+1), then show that f(-1/x)=-1/f(x).

    Text Solution

    |

  17. Domian of f(x)=1/sqrt(x+|x|) is

    Text Solution

    |

  18. Find the domain of each of the following functions: x|x|

    Text Solution

    |

  19. Find the domain of each of the following functions: (x^3-x+3)/(x^2-1)

    Text Solution

    |

  20. Find the domain of f(x)=1/sqrt(1-cosx)

    Text Solution

    |

  21. Find the range of f(x)=1-|x-2|.

    Text Solution

    |