Home
Class 11
MATHS
The number of ways in which we can distr...

The number of ways in which we can distribute `m n` students equally among `m` sections is given by a. `((m n !))/(n !)` b. `((m n)!)/((n !)^m)` c. `((m n)!)/(m ! n !)` d. `(m n)^m`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE ENGLISH|Exercise All Questions|173 Videos
  • PROBABILITY

    CENGAGE ENGLISH|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Number of ways in which n different prizes can be distributed among m-persons (m lt n) if each is entitled to receive atmost (n-1) prizes is

Find the number of ways in which n different prizes can be distributed among m(< n) persons if each is entitled to receive at most n-1 prizes.

The number of ways in which m men and n women can be seated in a row, so that no two women sit together is (i) (m!(m+1)!)/((m+n-1)!) (ii) (m!(m+1)!)/((m-n+1)!) (iii) (n!(m+1)!)/((m-n+1)!) (iv) (m!(n+1)!)/((m+n-1)!)

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

Prove that (mn)! Is divisible by (n!)^(m) " and" (m!)^(n) .

Prove that (mn)! Is divisible by (n!)^(m) " and" (m!)^(n)

The number of ways to distribute m xx n different thing among n persons equally = ((mn)!)/((m!)^(n)) The number of ways in which a pack of 52 card can be distributed among 4 players in a game bridge is

A function f is defined by f(x)=|x|^m|x-1|^nAAx in Rdot The local maximum value of the function is (m ,n in N) (a) 1 (b) m^n.n^m (c) (m^m n^n)/((m+n)^(m+n)) (d) ((m n)^(m n))/((m+n)^(m+n))

If the sum of m terms of an A.P. is the same as the sum of its n terms, then the sum of its (m+n) terms is (a). m n (b). -m n (c). 1//m n (d). 0

The number of ways to distribute m xx n different thing among n persons equally = ((mn)!)/((m!)^(n)) The number of ways in which 12 different books can be divided equally in 3 heaps of book is

CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. How many numbers can be made with the digits 3, 4, 5, 6, 7, 8 lying...

    Text Solution

    |

  2. In how many ways can 10 different prizes be given to 5 students if one...

    Text Solution

    |

  3. The number of ways in which we can distribute m n students equally...

    Text Solution

    |

  4. Consider the equation 2/x+5/y=1/3w h e r ex ,y in Ndot Find the numbe...

    Text Solution

    |

  5. Find the number of ways to give 16 different things to three persons A...

    Text Solution

    |

  6. In how many ways can 10 persons take seats in a row of 24 fixed seats ...

    Text Solution

    |

  7. If n objects are arrange in a row, then the number of ways of sele...

    Text Solution

    |

  8. In how many ways can a party of 6 men be selected out of 10 Hindus, 8 ...

    Text Solution

    |

  9. Fifteen identical balls have to be put in five different boxes. Eac...

    Text Solution

    |

  10. Find the total number of positive integral solutions for (x ,y ,z) suc...

    Text Solution

    |

  11. In how many different ways can the first 12 natural numbers be divi...

    Text Solution

    |

  12. Find the number of non-negative integral solutions of equation x+y+z+2...

    Text Solution

    |

  13. The number of ways in which we can get a score of 11 by throwing th...

    Text Solution

    |

  14. Find the number of non-negative integral solutions of x+y+z+wlt=20.

    Text Solution

    |

  15. The number of integral solutions of x+y+z=0 with xgeq-5,ygeq-5,zgeq-5 ...

    Text Solution

    |

  16. Find the number of non-negative integral solutions of the equation x+y...

    Text Solution

    |

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

    Text Solution

    |

  18. Find the number of positive integral solutions of the equation x+y+z=1...

    Text Solution

    |

  19. The maximum number of points of intersection of five lines and four ci...

    Text Solution

    |

  20. Find the number of ways in which n different prizes can be distribute...

    Text Solution

    |