Home
Class 12
MATHS
A lady gives a dinner party to 5 guests ...

A lady gives a dinner party to 5 guests to be selected from nine friends. The number of ways of forming the party of 5, given that two of the friends will not attend the party together, is

A

56

B

126

C

91

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`.^(9)C_(5)-.^(9-2)C_(5-2)=.^(9)C_(4)-.^(7)C_(3)`
`=126-35=91`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|10 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|5 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

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

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

Knowledge Check

  • 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

    A
    112
    B
    140
    C
    164
    D
    None of these

  • A lady gives a dinner party for five guests. The number of ways in which they may be selected from among mine friends if two of the friends will not attend the party together is

    A
    91
    B
    112
    C
    119
    D
    none of these

  • A delegation of four friends is to be selected from a group of 12 friends .The number of ways,the delegation be selected if two particular friends redused to be together and two other particular friends wish to be together only in the delegation is

    A
    226
    B
    114
    C
    156
    D
    170

    • Similar Questions

    Explore conceptually related problems

    A man has 6 friends. In how many ways can be invite one or more of his friends to a party ?

    The number of ways in which 6 gentlle men and 3 ladies are to sit for a dinner at a round table so that no two ladies are together is

    in how many ways can a party of 4 or more be selected from 10 persons?

    A man has 7 friends and he wants to invite 3 of them at a party. Find how many parties to each of 3 different friends he can give and how many times any particular friend will attend the parties?

    A man invites a party to (m+n) friends to dinner and places m at one round table and n at another. The number of ways of arranging the guests is

    Home
    Profile