Home
Class 11
MATHS
A committee of 7 peoples has to be forme...

A committee of 7 peoples has to be formed from 9 men and 4 women . In how many can this be done when then committee consists of
(i) exactly 3 women ?
(ii) at least 3 woman ?
(iii) at most 3 women ?

Text Solution

Verified by Experts

The correct Answer is:
(i) 280
(ii) 336.
(iii) 736
Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise Exercise 4.4|15 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise Exercise 4.5|25 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise Exercise 4.2|20 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS|10 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D)|4 Videos

Similar Questions

Explore conceptually related problems

A committee of 7 peoples has to be formed from 8 men and 4 women. In how many ways can this be done when the committee consists of Q exactly 3 women

A committee of 7 peoples has to be formed from 8 men and 4 women. In how many ways can this be done when the committee consists of Q at least 3 women?

A committee of 3 persons is to be constituted from a group of 2 men and 3 women. a. In how many ways can this be done? b. How many of these committees would consist of 1 man and 2 women?

A committee of 6 is to be choosen from 10 men and 7 women so as to contain atleast 3 men and 2 women. In how many different ways can this be done?

A committee of 5 persons is to be formed from 7 men and 3 women. i. Find the number of ways to form the committee so that it contains 5 men. ii. Find the number of ways to form the committee so that it contains 4 men and 1 women. iii. Find the number of ways to form the committee so that it contains atleast 1 women.

In how many ways can a committee of 3 men and 2 women be selected out of 7 men and 5 women?

SURA PUBLICATION-COMBINATORICS AND MATHEMATICAL INDUCTION -EXERCISE 4.3
  1. A Kabaddi coach has 14 players ready to play. How many different...

    Text Solution

    |

  2. There are 15 persons in a party and if each 2 of then shakes hands w...

    Text Solution

    |

  3. How many chords can be drawn through 20 points on a circle ?

    Text Solution

    |

  4. In a parking lot one hundred one year old cars, are parked. Out of t...

    Text Solution

    |

  5. How many ways can a team of 3 boys, 2 girls and 1 transgender be se...

    Text Solution

    |

  6. Find the total number of subsets of a set with . (i) 4 elements (...

    Text Solution

    |

  7. A trust has 25 members . (i) How many ways 3 officers can be sel...

    Text Solution

    |

  8. How many ways a committee of six persons from 10 persons can be chosen...

    Text Solution

    |

  9. How many different selections of 5 books can be made from 12 differe...

    Text Solution

    |

  10. There are 5 teachers and 20 students . Out of them a committee of t...

    Text Solution

    |

  11. In an examination a student has a answer 5 questions, out of 9 quest...

    Text Solution

    |

  12. Determine the number of 5 card combinations out of a deck of 52 car...

    Text Solution

    |

  13. Find the number of ways of forming a committee of 5 members out of...

    Text Solution

    |

  14. A committee of 7 peoples has to be formed from 9 men and 4 women . In ...

    Text Solution

    |

  15. 7 relatives of a man comprises 4 ladies and 3 gentlemen, his wife also...

    Text Solution

    |

  16. A box contains two white balls, three black balls and four balls. In...

    Text Solution

    |

  17. Find the number of strings of 4 letters that can be formed with the le...

    Text Solution

    |

  18. How many triangles can be formed by 15 points , in which 7 of them ...

    Text Solution

    |

  19. There are 11 points in a plane. No three of these lies in the same ...

    Text Solution

    |

  20. A polygon has 90 diagonals. Find the number of its sides ?

    Text Solution

    |