Home
Class 14
MATHS
A committee of five members is to form...

A committee of five members is to formed out of 3 trainees, 4 professors and 6 research associates .In how many different ways can this be done if :
The committee should have 2 trainees and 3 research associates ?

A

15

B

45

C

60

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
Number of combinations
= Selecting 2 trainess out of 3 and selecting 3 research associates out of `6=""^(3)C_(2)xx""^(6)C_(3)`
`=3xx(6xx5xx4)/(1xx2xx3)=60`
Promotional Banner

Topper's Solved these Questions

  • PERCENTAGE

    IBPS & SBI PREVIOUS YEAR PAPER|Exercise MCQs|81 Videos

  • PROFIT AND LOSS

    IBPS & SBI PREVIOUS YEAR PAPER|Exercise MCQS|69 Videos

Similar Questions

Explore conceptually related problems

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done if the committee should have 2 trainees and 3 research associates? (a) 15 (b) 45 (c) 60 (d) 9 (e) None of these

A committee of five members is to formed out of 3 trainees, 4 professors and 6 research associates .In how many different ways can this be done if : The committee should have all 4 professors and 1 research associate or all 3 trainess and professors?

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done, if the committee should have 4 professors and 1 research associate or all 3 trainees and 2 professors? (a) 12 (b) 13 (c) 24 (d) 52 (e) None of these

A committee of 5 members is going to be formed from 3 trainees, 4 professors and 6 research associates. How many ways can they be selected, if in committee, there are 2 trainees and 3 research associates?

A committee of five members is to be formed out of Males , 6 Females and 3 children ,In how many different ways can it be done if -? The committee should include all the 3 childs ?

A committee of five members is to be formed out of Males , 6 Females and 3 children ,In how many different ways can it be done if -? The committee should consist of 2 Males, 2Females and I Child ?

A committee of 5 members is going to be formed from 3 trainees, 4 professors and 6 research associates. How many ways can they be selected, if there are 4 professors and 1 research associate or 3 trainees and 2 professors?

A committee of 5 members is to be formed out of 4 men ad 5 women. In how many ways this can be done.

IBPS & SBI PREVIOUS YEAR PAPER-PROBABILITY, PERMUTATION AND COMBINATION-Question
  1. A basket contains 4 red , 5 blue and 3 green marbles . If three marbl...

    Text Solution

    |

  2. A committee of five members is to formed out of 3 trainees, 4 profes...

    Text Solution

    |

  3. A committee of five members is to formed out of 3 trainees, 4 profes...

    Text Solution

    |

  4. In how many different ways can the letters of the word 'SECOND be...

    Text Solution

    |

  5. In how many different ways can the letters of the word 'SIMPLE' ...

    Text Solution

    |

  6. In how many different ways can the letters of the word 'BELIEVE' be...

    Text Solution

    |

  7. In how many different ways can the letters of the word 'VIRTUAL ' b...

    Text Solution

    |

  8. In how many different ways can the letters of the word 'MARKERS '...

    Text Solution

    |

  9. In how many different ways can the letters of the word' 'VENTURE' be a...

    Text Solution

    |

  10. In how many different ways can the letters of the word 'TROUBLE' ...

    Text Solution

    |

  11. Out if five girls and three boys, four children are to be randomly se...

    Text Solution

    |

  12. An urn contains 4 green , 5 blue ,2 red and 3yellow marbles . If fo...

    Text Solution

    |

  13. An urn contains 4 green , 5 blue ,2 red and 3yellow marbles . If eig...

    Text Solution

    |

  14. An urn contains 4 green , 5 blue ,2 red and 3yellow marbles . If two...

    Text Solution

    |

  15. An urn contains 4 green , 5 blue ,2 red and 3yellow marbles . If thr...

    Text Solution

    |

  16. An urn contains 4 green , 5 blue ,2 red and 3yellow marbles . If thr...

    Text Solution

    |

  17. Which of the following words can be written in 120 different wa...

    Text Solution

    |

  18. In how many different ways can the letters of the word 'CREAM' be ...

    Text Solution

    |

  19. In how many different can the letters of the word 'THERAPY' be a...

    Text Solution

    |

  20. A bag contains 13 white and 7 black balls. Two are drawn at rando...

    Text Solution

    |