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`

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE PUBLICATION|Exercise All Questions|177 Videos

  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

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-1)C_(n+1) c. ""^(2n-1)C_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.

If n_1 and n_2 are five-digit numbers, find the total number of ways of forming n_1 and n_2 so that these numbers can be added without carrying at any stage.

2n boys are randomly divided into two subgroups containint n boys each. The probability that the two tallest boys are in different groups is a. n//(2n-1) b. (n-1)//(2n-1) c. (n-1)//4n^2 d. none of these

The number of diagonal matrix, A of order n which A^3=A is a. 1 b. 0 c. 2^n d. 3^n

The total number of ways of selecting two numbers from the set {1,2, 3, 4, ........3n} so that their sum is divisible by 3 is equal to a. (2n^2-n)/2 b. (3n^2-n)/2 c. 2n^2-n d. 3n^2-n

An urn contains N (=N_(1) + N_(2)) balls of which N_(1) are white and N_(2) red. If n balls are drawn at random, find the probability that among these exactly m balls are white.

Number of ways in which three numbers in A.P. can be selected from 1,2,3,..., n is a. ((n-1)/2)^2 if n is even b. n(n-2)/4 if n is even c. (n-1)^2/4 if n is odd d. none of these

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. A student is allowed to select at most n books from a collection of (2...

    Text Solution

    |

  2. Find the number of positive integral solutions satisfying the equation...

    Text Solution

    |

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

    Text Solution

    |

  4. Roorkee University has to send 10 professors to 5 centers for its e...

    Text Solution

    |

  5. Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards...

    Text Solution

    |

  6. In how many ways, two different natural numbers can be selected, which...

    Text Solution

    |

  7. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

    Text Solution

    |

  8. The number of ways of selecting 10 balls from unlimited number of red,...

    Text Solution

    |

  9. Let ngeq2 be integer. Take n distinct points on a circle and join each...

    Text Solution

    |

  10. There are 5 historical monuments, 6 gardens, and 7 shopping malls in a...

    Text Solution

    |

  11. Let n1ltn2ltn3ltn4ltn5 be positive integers such that n1+n2+n3+n4+n5="...

    Text Solution

    |

  12. In an election, the number of candidates exceeds the number to be e...

    Text Solution

    |

  13. A rectangle with sides of lengths (2n-1) and (2m-1) units is divided ...

    Text Solution

    |

  14. Find the number of odd proper divisors of 3^pxx6^mxx21^ndot

    Text Solution

    |

  15. lf r, s, t are prime numbers and p, q are the positive integers such t...

    Text Solution

    |

  16. Find the number of divisors of 720. How many of these are even? Also f...

    Text Solution

    |

  17. In an examination of nine papers, a candidate has to pass in more pa...

    Text Solution

    |

  18. How many different signals can be given using any number of flags from...

    Text Solution

    |

  19. A student is allowed to select at most n books from a collection of (2...

    Text Solution

    |

  20. In how many ways can 6 persons stand in a queue?

    Text Solution

    |