Home
Class 12
MATHS
A committee of 12 is to be formed from n...

A committee of 12 is to be formed from nine women and eight men. In how many ways can this be done if at least five women have to be included in a committee? In how many of these committees a. the women hold majority? b. the men hold majority?

Text Solution

Verified by Experts

The correct Answer is:
(i) 2702 (ii) 1008
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-2|88 Videos

  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

Similar Questions

Explore conceptually related problems

A commttee of 8 is to be formed from 6 women and 5 men. In how many ways this can be done if men are in majority ?

A committee consisting of 2 men and 2 women is to be chosen from 5 men and 6 women. IN how many ways can this be done?

A committee of 5 persons is to be formed from a group of 6 gentleman and 4 ladies. In how many ways can this be done if the committee is to include at least one lady ?

A committee of 5 is to be formed out of 6 men and 4 ladies. In how many ways can this be done, when (a) at least 2 ladies are included, (b) at most 2 ladies are included?

Out of 5 men and 2 women, a committee of 3 is to be formed. In how many ways can it be formed if at least one woman is to be included?

A committee of 7 members has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of at least 3 girls

A committee of 7 members has to be formed from 9 boys and 4 girls . In how many ways can this be done when the committee consists of exactly 3 girls.

A committee of 6 is to be formed out of 4 boys and 6 girls. In how many ways can it be done so that the girls may not be out numbered?

A committee of 7 members has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of exactly 3 girls

A committee of 7 members has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of atmost three girls

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-JEE ARCHIVE
  1. Let ngeq2 be integer. Take n distinct points on a circle and join each...

    Text Solution

    |

  2. Let A be a set of n distinct elements. Then the total number of distin...

    Text Solution

    |

  3. In a certain test, a students gave wrong answers to at least i questio...

    Text Solution

    |

  4. A committee of 12 is to be formed from nine women and eight men. In...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. A box contains 2 white balls, 3 black balls & 4 red balls. In how many...

    Text Solution

    |

  7. 7 relatives of a man comprises 4 ladies and 3 gentlemen, his wife has ...

    Text Solution

    |

  8. m men and n women are to be seated in a row so that no two women sit...

    Text Solution

    |

  9. m n squares of the equal size are arranged to form a rectangle of dmen...

    Text Solution

    |

  10. If ""^(n)C(r -1) = 36, ""^(n)C(r) = 84 " and " ""^(n)C(r +1) = 126, th...

    Text Solution

    |

  11. Let n1<n2<n3<n4<n5 be positive integers such that n1+n2+n3+n4+n5=20...

    Text Solution

    |

  12. The total number of ways in which 5 balls of different colours can be ...

    Text Solution

    |

  13. Let n and k be positive integers such that n gt (k(k+1))/2. The number...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. (i) In how many ways can a pack of 52 cards be divided equally a...

    Text Solution

    |

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

    Text Solution

    |

  17. PARAGRAPH A There are five students S1,\ S2,\ S3,\ S4 and S5 in a musi...

    Text Solution

    |

  18. PARAGRAPH A There are five students S1,\ S2,\ S3,\ S4 and S5 in a musi...

    Text Solution

    |

  19. The number of 5 digit numbers which are divisible by 4, with digits ...

    Text Solution

    |

  20. In a high school, a committee has to be formed from a group of 6 bo...

    Text Solution

    |