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

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

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

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

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos

Similar Questions

Explore conceptually related problems

There are (n+1) white and (n+1) black balls,each set numbered 1to n+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 idstinct 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

There are (n+1) white similar balls and (n+1) black balls of different size.No of ways the balls can be arranged in a row so that adjacent balls are of different colours 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

There are four different white balsl and four different black balls. The number of ways that balls can be arranged in a row so that white and black balls are placed alternately 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-

AAKASH INSTITUTE-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. T...

    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. 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 par...

    Text Solution

    |

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

    Text Solution

    |