Home
Class 12
MATHS
A is a set having 6 distinct elements. T...

A is a set having 6 distinct elements. The number of distinct functions from A to A which are not bijections is

A

1)`6!-6`

B

2)`6^(6)-6`

C

3)`6^(6)-6!`

D

4)`6!`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS - 2014

    SUNSTAR PUBLICATION|Exercise MCQs|59 Videos

  • K-CET-MATHEMATICS -2019

    SUNSTAR PUBLICATION|Exercise MCQs|58 Videos

Similar Questions

Explore conceptually related problems

Let A be a set containing 10 distinct elements . Then the total number of distinct functions from A to A is :

Let A be the set with n elements. The number of onto functions from A to A is

Which of the following functions from Z into Z is a bijection?

The number of bijective functions from the set A to itself if a contains 108 elements is

The number of bijective functions from the set A to itself, if A contains 108 elements is :

Let A be a set of n (>=3) distinct elements. The number of triplets (x, y, z) of the A elements in which at least two coordinates is equal to

Let A and B be two finite sets having m and n elements respectively. If mlen , the total number of injective functions from A to B is :

the number of bijeective funtion from the set A to itself. It a contains 108 elements is :

Let A={1,2,3} . The total number of distinct relations which can be defined over A is :

If a set has n elements then the total number of subsets of A is

SUNSTAR PUBLICATION-K-CET-MATHEMATICS -2018-MULTIPLE CHOICE QUESTIONS
  1. If A and B are mutually exclusive events, given that P(A)=3/5,P(B)=1/5...

    Text Solution

    |

  2. Let f,g:RrarrR be two functions defined as f(x)=|x|+x and g(x)=|x|-xAA...

    Text Solution

    |

  3. A is a set having 6 distinct elements. The number of distinct function...

    Text Solution

    |

  4. Let f: RrarrR be defined by f(x)={(2x , xgt3),(x^(2), 1ltxle3),(2x,xle...

    Text Solution

    |

  5. If sin^(-1)x+cos^(-1)y=(2pi)/5," then "cos^(-1)x+sin^(-1)y is

    Text Solution

    |

  6. The value of the expression tan(1/2"cos"^(-1)2/sqrt5)is

    Text Solution

    |

  7. if A =[(2,-2),(-2,2)]," then " A^(n)=2^(k)A, where k=

    Text Solution

    |

  8. If [(1,1),(-1,1)][(x),(y)]=[(2),(4)],then the values of x and y respec...

    Text Solution

    |

  9. If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)], then verify tha...

    Text Solution

    |

  10. If x,y,z in R, then the value of determinant |((5^(x)+5^(-x))^(2) , ...

    Text Solution

    |

  11. The value of determinant |(a-b ,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

    Text Solution

    |

  12. If (x(1),y(1)),(x(2),y(2)) and (x(3),y(3)) are the vertices of a trian...

    Text Solution

    |

  13. Let A be a square matrix of order 3xx3" then "|5A|=

    Text Solution

    |

  14. If f(x)={((sqrt(1+kx)-sqrt(1-kx))/x),((2x+1)/(x-1)):} if -1lexlt0 is c...

    Text Solution

    |

  15. If cosy=xcos(a+y)" with "cosa!= +-1, then dy/dx is equal to

    Text Solution

    |

  16. If f(x)=|cosx-sinx|," then "f^(1)(pi/6) is equal to

    Text Solution

    |

  17. If y=sqrt(x+sqrt(x+sqrt(x+............oo))), m then dy/dx=

    Text Solution

    |

  18. if f(x)={((log(e)x)/(x-1),,,x!=1),(k,,, x=1):} is continuous at x=1, t...

    Text Solution

    |

  19. Approximate change in the volume V of a cube of side x metres caused b...

    Text Solution

    |

  20. The maximum value of (1/x)^(x) is

    Text Solution

    |