Home
Class 12
MATHS
Set A has m distinct elements and set ...

Set A has m distinct elements and set B has n distinct elements. Then how many different mappings from set A to set B can be formed?

A

A. `mn`

B

B. `m^n`

C

C. `n^m`

D

D. None of These

Text Solution

Verified by Experts

Since each element(preimage) in set A can corresponds to any one of the n elements (images) in set B, the number of mappings can be formed is `n xx n xx n … m" times "=n^(m)`.
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

If set A contains p elements and set B contains q elements then their total number of reletions from A to B is-

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 ___

Set A has 3 elements and set aba has 4 elements .The number of injections that can be defined from A to B is

The number of subsets of a set containing n distinct elements is

Let S be a set of two elements. How many different binary operaions can be defined on S?

Let A be a set containing 10 distinct element, then total number of distinct function from A to A is

A set contains n elements.The power set contains

Let A be a set of 3 elements. The number of differentity binary operations can be defined A is…

If A= {a,b} B={p,q} then how many relation are there from set A to set B?

Number of relations of a set having 5 elements are

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. If A is set of different triangles in the plane and B is set of all po...

    Text Solution

    |

  2. A relation R is defined from N to N as R={(ab,a+b): a,b in N}. Is R ...

    Text Solution

    |

  3. Set A has m distinct elements and set B has n distinct elements. The...

    Text Solution

    |

  4. Write explicit functions of y defined by the following equations and a...

    Text Solution

    |

  5. Find the domain and range of the following functions. (i) f(x)=sqrt...

    Text Solution

    |

  6. Find the domain and range function f(x) =(x^(2)-3x+2)/(x^(2)-4x+3).

    Text Solution

    |

  7. Find the values of x for which the following functions are identical....

    Text Solution

    |

  8. ABCD is a square of side l. A line parallel to the diagonal BD at a di...

    Text Solution

    |

  9. The relation f is defined by f(x) ={(3x+2", "0le x le2),(x^(3)", ...

    Text Solution

    |

  10. If f: [-3,4] to R,f(x)=2x, " and " g :[-2, 6] to R,g(x) =x^(2). Then f...

    Text Solution

    |

  11. If f(x) ={(x^(3)", " x lt1),(2x-1", " x ge 1):} " and " g(x)={(...

    Text Solution

    |

  12. Check the nature of the following function. (i) f(x)=sin x, x in R...

    Text Solution

    |

  13. Check the nature of the function f(x)=x^(3)+x+1, x in R using analyt...

    Text Solution

    |

  14. Let f: R->R \ w h e r e \ f(x)=(x^2+4x+7)/(x^2+x+1) . Is f(x) \ on e \...

    Text Solution

    |

  15. Let f:R to R where f(x) =sin x. Show that f is into. Also find the co...

    Text Solution

    |

  16. Let f: N->Z be a function defined as f(x)=x-1000. Show that f is an in...

    Text Solution

    |

  17. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

    Text Solution

    |

  18. Let A={x:-1 le x le 1}=B be a function f: A to B. Then find the nature...

    Text Solution

    |

  19. If f:R to R be defined by f(x) =2x+sinx for x in R, then check the na...

    Text Solution

    |

  20. If f:[0,oo) to [0,1), " and " f(x)=(x)/(1+x) then check the nature o...

    Text Solution

    |