Home
Class 12
MATHS
From a class of 12 girls and 15 boys, 12...

From a class of 12 girls and 15 boys, 12 students are to be chosen for a competition including 7 boys and 5 girls. The two girls and 3 boys who won the prizes last year should be included . In how many ways can the selection be made ?

Text Solution

Verified by Experts

615
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section A Objective type questions (One option is correct )|51 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section B Objective type questions (One option is correct )|39 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos
  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos

Similar Questions

Explore conceptually related problems

(i) In how many ways a committee of 4 members out of 5 gents and 6 ladies can be formed if there is at least one lady in the committee? (ii) From a class of 12 boys and 8 girls, 10 students are to be chosen for a competition, including at least 4 boys and 4 girls. The two boys whho won the prizes last year should be included. In how many was can this selection be made?

From a class of 14 boys and 10 girls, 10 students are to be chosen for a competition, at least including 4 boys and 4 girls. The 2 girls who won the prizes last year should be included. In how many ways can the selection be made?

From a class of 12 boys and 10 girls,10 students are to be chosen for a competition; at leastincluding 4 boys and 4 girls.The 2 girls who won the prizes last year should be included.In how many ways can the selection be made?

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 ?

In how many ways can 5 boys and 5 girls sit in a ring

In a class there are 12 boys and 7 girls. The teacher wants to select either a boy or a girl to represent the class in a competition. In how many ways can the teacher make this selection.

In a class there are 16 boys and 9 girls. The teacher wants to select either a boy a girl as a class representative. In how many ways can the teacher make the selection?

In a class there are 30 boys and 18 girls. The teacher wants to select one boy and one girls. The teacher wants to select one boy and one girls to represent the class for a quliz competition. In how many ways can the teacher make this selection ?

19.From a group of 7 boys and 5 girls,a team consisting of 4 boysand 2 girls is to be made. In how many different ways it can bedone?

In how many ways can 5 boys and 5 girls sit in a circle so that no two boys sit together :

AAKASH INSTITUTE-PERMUTATIONS AND COMBINATIONS -Try Yourself
  1. If ""^(n)C(10)=""^(n)C(13) , then find the value of ""^(n)C(2)

    Text Solution

    |

  2. If ""^(15)C(x)=""^(15)C(x+3) , then find the value of X.

    Text Solution

    |

  3. Find ""^(18)C(3)+^(18)C(2)

    Text Solution

    |

  4. Verify that ""^(9)C(5)+""^(9)C(4)=""^(10)C(5)

    Text Solution

    |

  5. If .^(n)C(r-1): .^(n)C(r): .^(n)C(r+1)=3:4:5, find the values of n and...

    Text Solution

    |

  6. Prove that : (""^(n)C(r+1))/(""^(n)C(r))=(n-r)/(r+1)

    Text Solution

    |

  7. In how many ways a committee of 7 members can be selected from 10 memb...

    Text Solution

    |

  8. From a class of 30 student , 3 are to be chosen for a competition . In...

    Text Solution

    |

  9. Find the number of diagonals that can be drawn by joining the angular ...

    Text Solution

    |

  10. Find the number of sides of a polygon having 44 diagonals.

    Text Solution

    |

  11. How many committee of 5 members each can be formed with 8 officials an...

    Text Solution

    |

  12. Out of 7 consonants and 4 vowels, words are to be formed by involving ...

    Text Solution

    |

  13. A box contain 5 different red and 6 different white balls. In how many...

    Text Solution

    |

  14. A commttee of 8 is to be formed from 6 women and 5 men. In how many wa...

    Text Solution

    |

  15. Out of the 12 professors a committee of 5 professors is to be formed ....

    Text Solution

    |

  16. From a class of 12 girls and 15 boys, 12 students are to be chosen for...

    Text Solution

    |

  17. In how many ways can 8 stars(**) signs and 6 triangle (Delta ) signs b...

    Text Solution

    |

  18. In how many ways can 10 identical shirts and 7 identical trousers be p...

    Text Solution

    |

  19. In how many ways 4 different white balls and 6 different black balls b...

    Text Solution

    |

  20. In how many ways can 7 boys and 2 girls be seated in a row so that two...

    Text Solution

    |