Home
Class 11
MATHS
There are four balls of different colour...

There are four balls of different colours and four boxes of colours same as those of the balls. Find the number of ways in which the balls, one in each box, could be placed such that a ball is not placed in the box of its own colour.

A

9

B

24

C

12

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|9 Videos

  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

Similar Questions

Explore conceptually related problems

There are four balls of different colors and four boxes of colors same as those of the balls. Find the number of ways in which the balls, one in each box, could be placed in such a way that a ball does not go to box of its own color.

There are four balls of different colours and four boxes of colours, same as those of the balls. The number of ways in which the balls, one in each box, could be placed such thast a ball does not go to a box of its own colour is: (A) |__4-1 (B) 9 (C) |__3+1 (D) none of these

There are five balls of different colours and five boxes of colours same as those of the balls. The number of ways in which the balls, one each in a box, could be placed such that exactly one ball goes to a box of its own colour, is

There are 5 different colour balls and 5 boxes of colours same as those of the balls. The number of ways in which one can place the balls into the boxes, one each in a box, so that no ball goes to a box of its own colour is

We have 4 balls of different colours and 4 boxes with colours the same as those or the bals. The number of ways in which the balls can be arranged in the boxes so that no ball goes into a box of its own colour are_______________________.

The number of ways in which n distinct balls can be put into three boxes, is

The number of ways in which 9 identical balls can be placed in three identical boxes is

Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball.

Find the number of ways in which four distinct balls can be kept into two identical boxes so that no box remains empty.

Find the number of ways in which 5 distinct balls can be distributed in three different boxes if no box remains empty.

OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Exercise
  1. The total number of ways of arranging the letters AAAA BBB CC D E F in...

    Text Solution

    |

  2. The side AB, BC and CA of a triangle ABC have 3,4 and 5 interior point...

    Text Solution

    |

  3. There are four balls of different colours and four boxes of colours sa...

    Text Solution

    |

  4. The number of all the possible selections which a student can make for...

    Text Solution

    |

  5. The greatest possible number of points of intersection of 8 straight l...

    Text Solution

    |

  6. A lady gives a dinner party to 5 guests to be selected from nine frien...

    Text Solution

    |

  7. There are 10 lamps in a hall. Each one of them can be switched on i...

    Text Solution

    |

  8. The number of ways in which four persons be seated at a round table, s...

    Text Solution

    |

  9. At an election there are five candidates and three members to be elect...

    Text Solution

    |

  10. There are p copies each of n different books. Find the number of ways ...

    Text Solution

    |

  11. A library has two books each having three copies and three other books...

    Text Solution

    |

  12. The total number of arrangements of the letters in the expression a^(3...

    Text Solution

    |

  13. The total number of selections of fruit which can be made from 3 banan...

    Text Solution

    |

  14. The total number of ways of dividing mn things into n equal groups, is

    Text Solution

    |

  15. How many different words of 4 letters can be formed with the letters o...

    Text Solution

    |

  16. ""sum(r=1)^(4)""^(21-r)C(4)+ 17C(5), is

    Text Solution

    |

  17. Given that .^(n)C(n-r)+3^(n)C(n-r+1)+3. .^(n)C(n-r+2)+.^(n)C(n-r+3)=...

    Text Solution

    |

  18. If n is even and ""^(n)C(0)lt""^(n)C(1) lt ""^(n)C(2) lt ....lt ""^(...

    Text Solution

    |

  19. Find the number of ways in which one can post 5 letters in 7letter ...

    Text Solution

    |

  20. What is the total number of 2xx2 matrices with each entry 0 or 1...

    Text Solution

    |