Home
Class 11
MATHS
There are (n+1) white and (n+1) black ...

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`

A

`(2n+2)!`

B

`(2n+2)!xx2`

C

`(n+1)!xx2`

D

`2{(n+1)!}^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|136 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 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

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

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 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 _________.

Let f(n ,k) denote the number of ways in which k identical balls can be colored with n colors so that there is at least one ball of each color. Then f(n ,2n) must be equal to a. ^2n C_n b. ^2n-1C_(n+1) c. ^2n-1C_n d. none of these

There are n-1 red balls, n green balls and n+1 blue balls in a bag. The number of ways of choosing two balls from the bag that have different colours is 299. What is the value of n?

The total number of ways in which 2n persons can be divided into n couples is a. (2n !)/(n ! n !) b. (2n !)/((2!)^3) c. (2n !)/(n !(2!)^n) d. none of these

The total number of ways in which 2n persons can be divided into n couples is a. (2n !)/(n ! n !) b. (2n !)/((2!)^3) c. (2n !)/(n !(2!)^n) d. none of these

There are two bags each of which contains n balls. A man has to select an equal number of balls from both the bags. Prove that the number of ways in which a man can choose at least one ball from each bag is^(2n)C_n-1.

There are two bags each of which contains n balls. A man has to select an equal number of balls from both the bags. Prove that the number of ways in which a man can choose at least one ball from each bag is ^(2n)C_n-1.

OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Chapter Test
  1. 7 women and 7 men are to sit round a circulartable such that there is ...

    Text Solution

    |

  2. There are (n+1) white and (n+1) black balls, each set numbered 1ton...

    Text Solution

    |

  3. 12 persons are to be arranged to a round table. If two particular pers...

    Text Solution

    |

  4. The number of committees of 5 persons consisting of at least one femal...

    Text Solution

    |

  5. The number of ways in which a team of eleven players can be selected f...

    Text Solution

    |

  6. In a football championship, 153 matches were played. Every two-team pl...

    Text Solution

    |

  7. How many numbers between 5000 and 10,000 can be formed using the digit...

    Text Solution

    |

  8. If x, y and r are positive integers, then ""^(x)C(r)+""^(x)C(r-1)+""^(...

    Text Solution

    |

  9. In how many ways can 5 red and 4 white balls be drawn from a bag conta...

    Text Solution

    |

  10. All the letters of the word 'EAMCET' are arranged in all possible ways...

    Text Solution

    |

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

    Text Solution

    |

  12. How many 10-digit numbers can be formed by using digits 1 and 2

    Text Solution

    |

  13. The straight lines I(1),I(2),I(3) are parallel and lie in the same pla...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. The number of diagonals that can be drawn by joining the vertices of a...

    Text Solution

    |

  16. The sum of the digits in unit place of all the numbers formed with the...

    Text Solution

    |

  17. In an examinations there are three multiple choice questions and each ...

    Text Solution

    |

  18. There are 10 points in a plane, out of these 6 are collinear. If N is ...

    Text Solution

    |

  19. Ramesh has 6 friends. In how many ways can be invite one or more of th...

    Text Solution

    |

  20. If Pm stands for ^m Pm , then prove that: 1+1. P1+2. P2+3. P3++ndotPn=...

    Text Solution

    |