Home
Class 11
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?

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE PUBLICATION|Exercise All Questions|177 Videos

  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

A committee of 5 is to be formed from six ladies and four gentlemen . In how many ways this can be done so that the committee contains at most two ladies ?

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

A committee of 5 is to be formed from six ladies and four gentlemen . In how many ways this can be done so that the committee contains at least two ladies,

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

A committee of 5 is to be formed from six ladies and four gentlemen . In how many ways this can be done so that the committee contains exactly two ladies ,

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

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

In how many ways can 6 men be seated at a round table ?

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

Five boys and five girls sit alternately around a round table. In how many ways can this be done?

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Let A = {x1, x2, x3, ,x7},B={y1, y2, y3} The total number of func...

    Text Solution

    |

  2. The total number of ways in which n^2 number of identical balls...

    Text Solution

    |

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

    Text Solution

    |

  4. Let Tn denote of the number of triangles which can be formed using the...

    Text Solution

    |

  5. In a group of boys, two boys are brothers and six more boys are pres...

    Text Solution

    |

  6. If N is the number of ways in which a person can walk up a stairwa...

    Text Solution

    |

  7. If, ^n Cr=84 , and ^n C(r-1)=36,and ^n C(r+1)=126 , then find the val...

    Text Solution

    |

  8. find 7C4

    Text Solution

    |

  9. Find the number of ways in which 22 different books can be given to 5 ...

    Text Solution

    |

  10. Consider the convex polygon, which has 35 diagonals. Then match the ...

    Text Solution

    |

  11. Find 5C0

    Text Solution

    |

  12. Consider a 6xx6 chessboard. Then match the following columns. Column I...

    Text Solution

    |

  13. Ten persons amongst whom are A,B and C are to speak at a function the ...

    Text Solution

    |

  14. In how many ways can three persons, each throwing a single dice once, ...

    Text Solution

    |

  15. In how many ways can a team of 11 players be formed out of 25 playe...

    Text Solution

    |

  16. Find the number of positive integral solutions of the inequality 3x+y+...

    Text Solution

    |

  17. How many integers between 1 and 10,00,000 have the sum of the digits e...

    Text Solution

    |

  18. Statement 1: Number of terms in the expansion of (x+y+z+w)^(50) is ""^...

    Text Solution

    |

  19. Find the number of seven letter words that can be formed by using the ...

    Text Solution

    |

  20. The number of ways in which 10 candidates A1,A2, A(10) can be rank...

    Text Solution

    |