Home
Class 12
MATHS
There are n white and n black balls mark...

There are n white and n black balls marked 1, 2, 3,…..,n. The number of ways in which we can arrange these balls in a row so that neighbouring balls are of different colours, is

A

`2(n)!`

B

`(2n)!`

C

`2(n!)^(2)`

D

`2.((2n)!)/(""^(2n)C_(n))`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section D Linked Comprehension Type Questions|12 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section E (Assertion-Reason Type Questions)|5 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section B Objective type questions (One option is correct )|39 Videos
  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

Similar Questions

Explore conceptually related problems

There are (n+1) white and (n+1) black balls, each set numbered 1ton+1. The number of ways in which the balls can be arranged in a row so that the adjacent balls are of different colors is a. (2n+2)! b. (2n+2)!xx2 c. (n+1)!xx2 d. 2{(n+1)!}^2

There are n distinct white and n distinct black ball. If the number of ways of arranging them in a row so that neighbouring balls are of different colors is 1152, then value of n is _________.

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

A box contains 3 red, 4 white and 2 black balls. The number of ways in which 3 balls can be drawn from the box, so that at least one ball is red , is ( all balls are different )

The number of ways of arranging m white and n black balls in a row (mgtn) so that no two black are placed together, is

You are given 8 balls of different colour (black,white ......). The number of ways in which these balls can be arranged in a row so that the two balls of particular colour (say red and white) may never come together 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

There are 4 white, 3 black and 3 red balls in a bag. Find the number of ways of selecting three balls, if at least one black ball is there.

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_______________________.

There are 2 identical white balls, 3 identical red balls, and 4 green balls of different shades. Find the number of ways in which they can be arranged in a row so that atleast one ball is separated from the balls of the same color.

AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Assignment Section C Objective type questions (One option is correct )
  1. If .^(n)C(4),.^(n)C(5), .^(n)C(6) are in A.P., then find the value of ...

    Text Solution

    |

  2. the results of 11 chess matches (as win , lose or draw ) are to be fo...

    Text Solution

    |

  3. A student has to answer 10 out of 13 questions in an examination. Th...

    Text Solution

    |

  4. Let N denote the number of ways in which n boys can be arranged in a l...

    Text Solution

    |

  5. The kindergarten teacher has 25 kid in her class. She takes 5 of them ...

    Text Solution

    |

  6. The number of ways in which 20 girls be seated round a table if there ...

    Text Solution

    |

  7. The number of non-negative integral solution x1 + x2 + x3 + x4 <=n (wh...

    Text Solution

    |

  8. If N is the number of positive integral solutions of x1x2x3x4 = 770, t...

    Text Solution

    |

  9. There are n white and n black balls marked 1, 2, 3,…..,n. The number o...

    Text Solution

    |

  10. There are 15 bulbs in a room. Each one of them can be operated indepen...

    Text Solution

    |

  11. The number of ways in which 5 distinct toys can be distributed among 8...

    Text Solution

    |

  12. The number of six digit numbers that can be formed from the digits 1,2...

    Text Solution

    |

  13. Find the number of integers which lie between 1 and 10^6 and which hav...

    Text Solution

    |

  14. The value of sum(r=0)^(m)""^(n+r)C(n) is equal to :

    Text Solution

    |

  15. Between two junction stations A and B there are 12 intermediate statio...

    Text Solution

    |

  16. If m parallel lines in a plane are intersected by a family of n para...

    Text Solution

    |

  17. There are n straight lines in a plane, in which no two are parallel an...

    Text Solution

    |