Home
Class 12
MATHS
Mohan has 8 friends, in how many ways he...

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

Text Solution

Verified by Experts

Mohan select one orr more than one of his 8 friends. So,
`=.^(8)C_(1)+.^(8)C_(2)+.^(8)C_(3)+ . . .+.^(8)C_(8)`
`=2^(8)-1=255`.
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise JEE Type Solved Examples: Single Matching Type Questions|1 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|11 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

Similar Questions

Explore conceptually related problems

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

A man has 10 friends, in how many ways he can invite one or more of them to a party?

Ramesh has 6 friends.In how many ways can be invite one or more of them at a dinner? (A) 61(B)62(C)63(D)64

A man has 7 friends. In how many ways can be invite one or more of them to a party ?

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

Sunil has 6 friends . In how many ways can be invite two or more of his friends for dinner?

A person has 8 friends.The number of ways in which he may invite one or more of them to a dinner is.

ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Mohan has 8 friends, in how many ways he invite one or more of them to...

    Text Solution

    |

  2. There is a rectangular sheet of dimension (2m-1)xx(2n-1), (where m > 0...

    Text Solution

    |

  3. If the letters of the word SACHIN are arranged in all possible ways ...

    Text Solution

    |

  4. lf r, s, t are prime numbers and p, q are the positive integers such t...

    Text Solution

    |

  5. At an election a voter may vote for nany number of candidates , not gr...

    Text Solution

    |

  6. The letters of the word COCHIN are permuted and all the permutation...

    Text Solution

    |

  7. The set S""=""{1,""2,""3,"" ,""12) is to be partitioned into three...

    Text Solution

    |

  8. Consider all possible permutations of the letters of the word ENDEANOE...

    Text Solution

    |

  9. How many different words can be formed by jumbling the letters in the ...

    Text Solution

    |

  10. In a shop, there are five types of ice-creams available. A child buys ...

    Text Solution

    |

  11. The number of seven digit integers, with sum of the digits equal to 10...

    Text Solution

    |

  12. From 6 different novels and 3 different dictionaries, 4 novels and ...

    Text Solution

    |

  13. There are two urns. Urn A has 3 distinct red balls and urn B has 9 d...

    Text Solution

    |

  14. Statement-1: The number of ways of distributing 10 identical balls in ...

    Text Solution

    |

  15. There are 10 points in a plane, out of these 6 are collinear. The numb...

    Text Solution

    |

  16. The total number of ways in which 5 balls of differert colours can be ...

    Text Solution

    |

  17. Let n denote the number of all n-digit positive integers formed by the...

    Text Solution

    |

  18. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  19. Assuming the balls to be identical except for difference in colours, t...

    Text Solution

    |

  20. Let Tn be the number of all possible triangles formed by joining ve...

    Text Solution

    |

  21. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

    Text Solution

    |