Home
Class 12
MATHS
A woman has 11 close friends. Number of ...

A woman has 11 close friends. Number of ways in which she can invite 5 of them to dinner if two particular friends of them are not on speaking terms and will not attend together is

A

`""^(11)C_(5)-""^(9)C_(3)`

B

`""^(9)C_(5)-2""^(9)C_(4)`

C

`3""^(9)C_(4)`

D

`378`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos
  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-1|125 Videos
  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

Similar Questions

Explore conceptually related problems

A man has 6 friends . In how many ways ways may be invite one or more of them to dinner?

A person has 5 shirts, 4 coat and 7 ties . Number of ways in which he can wear them is

The number of ways in which seven persons can be arranged at a round table if two particular persons may not sit together, is

Ramesh has 6 friends. In how many ways can be invite one or more of them at a dinner ?

Mohan has 8 friends, in how many ways he invite one or more of them to dinner?

Find the number of ways in which 6 men and 5 women can dine around a circular table if no two women are to sit together.

A lady gives a dinner party for six guests. The number of ways in which they may be selected from among ten friends if two of the friends will not attend the party together is 112 b. 140 c. 164 d. none of these

Anil has 8 friends In how many wasys can he invite one or more of his friends to a dinner?

The number of ways in which 12 balls can be divided between two friends, one receiving 8 and the other 4, is

Number of ways in which 15 different books can be arraged on a shelf so that two particular books shall not be together is

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-LEVEL-2
  1. Let n be a positive integer and define f(n)=1!+2!+3!+…+n!. Find polyno...

    Text Solution

    |

  2. Consider seven digit number x1,x2,...,x7, where x1,x2,..,x7 != 0 havin...

    Text Solution

    |

  3. A woman has 11 close friends. Number of ways in which she can invite 5...

    Text Solution

    |

  4. On the normal chess board as shown, I1, & I2, are two insects whic...

    Text Solution

    |

  5. There are 12 points in a plane of which 5 are collinear. The maximum n...

    Text Solution

    |

  6. There are 10 seats in the first row of a theatre of which 4 are to be ...

    Text Solution

    |

  7. A man is at the origin on the x-axis and takes a unit step either to t...

    Text Solution

    |

  8. For the equation x + y + z +omega= 19, the number of positive integral...

    Text Solution

    |

  9. Find the number of non-negative integral solutions of x1+x2+x3+4x4=20.

    Text Solution

    |

  10. 10 persons are to be arranged in a circular fashion so that in no two ...

    Text Solution

    |

  11. The Number of ways in which five different books to be distributed amo...

    Text Solution

    |

  12. Number of ways in which the letters of the word ‘B U L B U L’ can be a...

    Text Solution

    |

  13. Number of ways in which 200 people can be divided in 100 couples is -

    Text Solution

    |

  14. If letters of the word “THING” are arranged in all possible manner and...

    Text Solution

    |

  15. You are given 8 balls of different colour (black,white ......). The nu...

    Text Solution

    |

  16. Kanchan has 10 friends among whom two are married to each other. Sh...

    Text Solution

    |

  17. Number of quadrilaterals which can be constructed by joining the verti...

    Text Solution

    |

  18. There are n married couples at a party. Each person shakes hand with e...

    Text Solution

    |

  19. There are 25 students in a class. The teacher takes 5 of them at a tim...

    Text Solution

    |

  20. In a shooting competition, three targets are set as shown: Target...

    Text Solution

    |