Home
Class 11
MATHS
A function is defined as f:{a1,a2,a3,a4,...

A function is defined as `f:{a_1,a_2,a_3,a_4,a_5,a_6}rarr{b_1,b_2,b_3}` then number of functions in which `f(a_i)neb_i` is divisible by

A

5

B

7

C

11

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA, ELLIPSE AND HYPERBOLA

    PATHFINDER|Exercise QUESTION BANK|66 Videos

  • PERMUTATION AND COMBINATIONS

    PATHFINDER|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

Let X={a_1, a_2,.. ,a_6}a n dY={b_1, b_2,b_3}dot The number of functions f from xtoy such that it is onto and there are exactly three elements x in X such that f(x)=b_1 is 75 (b) 90 (c) 100 (d) 120

Suppose a_1, a_2, are real numbers, with a_1!=0. If a_1, a_2,a_3, are in A.P., then (a) A=[(a_1,a_2,a_3),(a_4,a_5,a_6),(a_5,a_6,a_7)] is singular (where i=sqrt(-1) ) (b)The system of equations a_1x+a_2y+a_3z=0,a_4x+a_5y+a_6z=0,a_7x+a_8y+a_9z=0 has infinite number of solutions. (c) B=[(a_1,i a_2),(ia_2,a_1)] is non-singular (d)none of these

The total number of infections (one-one into mappings) from {a_1,a_2,a_3,a_4} to {b_1,b_2,b_3,b_4,b_5,b_6,b_7} is

Let the function f:A rarr B have an inverse function f^(-1): B rarr A , then the nature of the function f is __

Let f(x) and g(x) be bijective functions where f:{1, b , c , d} rarr {1,2,3,4} and g:{3,4,5,6} rarr {2, x , y , z}, respectively. Then, find the number of elements in the range of g"("f(x)"}" .

If a_r=(cos2rpi+i sin 2rpi)^(19) , then prove that |[a_1,a_2,a_3],[a_4,a_5,a_6],[a_7,a_8,a_9]|=0 .

If a_1b_1c_1,a_2b_2c_2 and a_3b_3c_3 are three digit even natural numbers and Delta =|[c_1,a_1,b_1],[c_2,a_2,b_2],[c_3,a_3,b_3]| ,t h e n Delta i s divisible by 2 but not necessarily by 4 divisible by 4 but not necessarily by 8 divisible by 8 none of these

Let A be the set of 4- digit numbers a_1a_2a_3a_4 where a_1gt a_2 gt a_3 gt a_4 then n(A) is equal to

If a_n= int_0^(pi/4) cot^nx dx then a_2+a_4 , a_3+a_5 , a_4+a_6

If a_r=(cos2rpi+isin2rpi)^((1)/(9)) , then the value of |{:(a_1,a_2,a_3),(a_4,a_5,a_6),(a_7,a_8,a_9):}| .

PATHFINDER-PERMUTATION AND COMBINATION-QUESTION BANK
  1. A function is defined as f:{a1,a2,a3,a4,a5,a6}rarr{b1,b2,b3} then numb...

    Text Solution

    |

  2. Let A =(x1,x2,x3,x4,x5,x6}B={y1,y2,y3,y4,y5,y6} then the number of one...

    Text Solution

    |

  3. A function is defined as f:{a1,a2,a3,a4,a5,a6}rarr{b1,b2,b3} then numb...

    Text Solution

    |

  4. A person goes two for an examination in which there are four papers wi...

    Text Solution

    |

  5. At an election a voter may vote for any number of candidates not great...

    Text Solution

    |

  6. There are 4 balls of different colours and four boxes of colours same ...

    Text Solution

    |

  7. There are 12 balls numbered from 1 to 12 the number of ways in which t...

    Text Solution

    |

  8. If a,b,c are odd positive integers then number of integral solutions o...

    Text Solution

    |

  9. The number of ways to fill each of the four cells of the table with a ...

    Text Solution

    |

  10. A student is to answer 10 out of 13 questions in an examination such t...

    Text Solution

    |

  11. A class has n students we have to form a team of the students includin...

    Text Solution

    |

  12. If all permutation of the letters of the word AGAIN are arranged as in...

    Text Solution

    |

  13. If a,b,c,d are odd natural numbers such that a+b+c+d=20 then the numbe...

    Text Solution

    |

  14. The value of.^50c4+underset(r=1)overset6sum.^(56-r)c3 is

    Text Solution

    |

  15. On the occasion of deepawali festival each student of a class sends gr...

    Text Solution

    |

  16. The set S:={1,2,3…..12} is to be partitioned into three sets A,B,C of ...

    Text Solution

    |

  17. From 6 different novels and 3 different dictionaries 4 novels and 1 di...

    Text Solution

    |

  18. A servant has to post 5 letters and there are 4 letter boxes in how ma...

    Text Solution

    |

  19. In how many ways 5 delegates can be put in 6 hotels of a city if there...

    Text Solution

    |

  20. How many different words can be formed with the letters of the word "M...

    Text Solution

    |