Home
Class 11
MATHS
A committee of 7 has to be formed from 9...

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of:
(i) exactrly 3 girls?
(ii) at least 3 girls
(ii) almost 3 girls?

Text Solution

Verified by Experts

The correct Answer is:
(i) 504
(ii) 588
(iii) 1632
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Questions From NCERT Exemplar|4 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise EXERCISE 7 (a) Short Answer Type Questions|18 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • MOCK TEST

    MODERN PUBLICATION|Exercise SECTION - D|5 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

A committee of 7 has to be formed from 9 boys and 4 girls.In how many ways can this be done when the committee consists of: (i) exactly 3 girls? (ii) atleast 3girls? (iii) atmost 3 girls?

A committee of 2 boys and 2 girls is to be slected from 4 boys and 3 girls . In how many ways can this be done ?

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?

In how many ways a committee of 5 is to be formed from 6 boys and 4 girls, where the committee contains at least one girl.

A committee of 11 is to be formed from 8 teachers and 12 students of whom 4 are girls. In how many ways this can be done so that the committee contains at least four of either groups (teachers and students) and at least 2 girls and atleast 2 boys are in the committee.

A committee of 5 Students is to be chosen from 6 boys and 4 girls. Find the probability that the committee contains exactly 2 girls.

A committee of 10 is to be formed from 8 teachers and 12 students of whom 4 are girls. In how many ways this can be done so that com the committee contains atleast four of either groups (teachers and students) and atleast 2 girls and atleast 2 boys are in the committee.

In a class there are 20 boys and 15 girls. In how many ways can 2 boys and 2 girls be selected?

There are 5 boys and 3 girls. In how many ways can they be seated in a row so that al the three girls do not sit together

MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS -Frequently Asked Questions
  1. How many numbers greater than 56000 and farmed by using the digits 4,5...

    Text Solution

    |

  2. Find the sum of all the numbers that can be formed with the digits 2, ...

    Text Solution

    |

  3. The number of natural numbers smaller than 10^4 of which all digits ar...

    Text Solution

    |

  4. How many 6-digit telephone numbers can be constructed with digits 0...

    Text Solution

    |

  5. There are 6 candidates contesting for a certainoffice n a municipal el...

    Text Solution

    |

  6. How many words, with or without meanings, can be formed using all the ...

    Text Solution

    |

  7. In how many ways can 9 examination papers arranged so the best and the...

    Text Solution

    |

  8. The letters of the word 'RANDOM' are written in all possible orders an...

    Text Solution

    |

  9. The Principal wants to arrange 5 students on the platform such that th...

    Text Solution

    |

  10. Six candidtes are called for interview to fill four posts in an office...

    Text Solution

    |

  11. Three married couples are to be seated in a row having six seats in a ...

    Text Solution

    |

  12. How many signals can be made by hoisting 5 flags of different colours ...

    Text Solution

    |

  13. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

    Text Solution

    |

  14. What is the number of ways of choosing 4 cards from a pack of 52 pl...

    Text Solution

    |

  15. 21.A student has to answer 10 questions, choosing at least 4 fromeach ...

    Text Solution

    |

  16. A cricket team of 11 players is to be selected from 16 players includi...

    Text Solution

    |

  17. A person wishes to make up as many different parties as he can out of ...

    Text Solution

    |

  18. In a village, there are 87 families of which 52 families have at most ...

    Text Solution

    |

  19. If m parallel lines in a plane are intersected by a family of n par...

    Text Solution

    |