Home
Class 12
MATHS
Number of ways in which 12 different thi...

Number of ways in which 12 different things can be divided among five persons so that they can get 2,2,2,3,3 things respectively is

A

`(12!)/((3!)^(2)(2!)^(3))`

B

`(12!15!)/((3!)^(2)(2!)^(3))`

C

`(12!)/((3!)^(3)(2!)^(4))`

D

`(12!5!)/((3!)^(2)(2!)^(4))`

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

Number of ways in which 12 different things can be distributed in 3 groups, is

If the number of ways in which n different things can be distributed among n persons so that at leastone person does not get any thing is 232. Then n is equal to

The number of ways in which 4n things can be divided into 4 equal parts is

The number of ways in which 11. different things can be divided into two groups containing 6 and 5 things respectively is

Number of ways in which 12 different balls can be divided into groups of 5, 4 and 3 balls are

Number of ways in which 25 identical things be distributed among five persons if each gets odd number of things is

For the equation X+Y+Z+W = 19, the number of positive integral solutions is equal to (A) The number of ways in which 19 identical things can be distributed among 4 persons so that each gets atleast one thing (B) The number of ways in which 15 identical things can be distrusted to 4 persons so that each person get any number of things. (C) 18C_3 (D) 22C_3

The number of ways in which 15 mangoes can be equally divided among 3 students is

The number of ways in which 16 identical things can be distributed among 4 persons if each person gets atleast 3 things,is k then k/7 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

    |