Home
Class 12
MATHS
The total number of ways in which 2n per...

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

A

`(2n!)/((n!)^(2))`

B

`(2n!)/((2n!)^(n))`

C

`(2n!)/(n!(2n!)^(2))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 6|28 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|5 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|18 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

Similar Questions

Explore conceptually related problems

Let N denotes the number of ways in which 3n letters can be selected from 2n A's, 2nB's and 2nC's. then,

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

Two players P_1a n dP_2 play a series of 2n games. Each game can result in either a win or a loss for P_1dot the total number of ways in which P_1 can win the series of these games is equal to a. 1/2(2^(2n)-^ "^(2n)C_n) b. 1/2(2^(2n)-2xx^"^(2n)C_n) c. 1/2(2^n-^"^(2n)C_n) d. 1/2(2^n-2xx^"^(2n)C_n)

If x^(m) occurs in the expansion (x+1/x^(2))^(n) , then the coefficient of x^(m) is ((2n)!)/((m)!(2n-m)!) b.((2n)!3!3!)/((2n-m)!) c.((2n-m)/(3))!((4n+m)/(3))! none of these

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

The total number of ways in which n^2 number of identical balls can be put in n numbered boxes (1,2,3,.......... n) such that ith box contains at least i number of balls is a. .^(n^2)C_(n-1) b. .^(n^2-1)C_(n-1) c. .^((n^2+n-2)/2)C_(n-1) d. none of these

The coefficient of 1/x in the expansion of (1+x)^(n)(1+1/x)^(n) is (n!)/((n-1)!(n+1)!) b.((2n)!)/((n-1)!(n+1)!) c.((2n-1)!(2n+1)!)/((2n-1)!(2n+1)!) d.none of these

The total number of terms which are dependent on the value of x in the expansion of (x^(2)-2+(1)/(x^(2)))^(n) is equal to 2n+1 b.2n c.n d.n+1

The greatest natural number which divides n(n+1)(2n+1), AA n in N is

ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise For Session 5
  1. There are 3 oranges, 5 apples and 6 mangoes in a fuit basket (all frui...

    Text Solution

    |

  2. In a city no two persons have identical set of teeth and there is no p...

    Text Solution

    |

  3. If a1,a2,a3,.....,a(n+1) be (n+1) different prime numbers, then the n...

    Text Solution

    |

  4. Number of proper factors of 2400 is equal to

    Text Solution

    |

  5. The sum of the divisors of 2^(5)xx3^(4)xx5^(2), is

    Text Solution

    |

  6. The number of proper divisors of 2^(p)*6^(q)*21^(r),AA p,q,r in N, is

    Text Solution

    |

  7. The number of odd proper divisors of 3^(p)*6^(q)*15^(r),AA p,q,r, in N...

    Text Solution

    |

  8. The number of proper divisors of 1800, which are also divisible by 10,...

    Text Solution

    |

  9. Total number of 480 that are of the form 4n+2, n ge 0, is equal to

    Text Solution

    |

  10. Total number of divisors of N=2^(5)*3^(4)*5^(10)*7^(6) that are of the...

    Text Solution

    |

  11. Total number of divisors of n = 3^5. 5^7. 7^9 that are in the form of ...

    Text Solution

    |

  12. In how many ways 12 different books can be distributed equally among 3...

    Text Solution

    |

  13. Number of ways in which 12 different things can be distributed in 3 gr...

    Text Solution

    |

  14. Number of ways in which 12 different things can be divided among five ...

    Text Solution

    |

  15. Number of ways in which 12 different things can be divided among five ...

    Text Solution

    |

  16. The total number of ways in which 2n persons can be divided into n ...

    Text Solution

    |

  17. n different toys have to be distributed among n children. Find the num...

    Text Solution

    |

  18. In how any ways can 8 different books be distributed among 3 students ...

    Text Solution

    |