Home
Class 11
MATHS
In how many ways can a committee of 6 me...

In how many ways can a committee of 6 members e formed out of 4 teachers and 7 students when
(i) one teacher is in the committee?
(ii) at least one teacher is in the committee?

Text Solution

Verified by Experts

The correct Answer is:
(i) 186 (ii) 186
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN|Exercise Exercise H|10 Videos
  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN|Exercise Exercise I|10 Videos
  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN|Exercise Exercise F|26 Videos
  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN|Exercise Misellaneous exercise|7 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NAGEEN PRAKASHAN|Exercise Exercise 4|29 Videos

Similar Questions

Explore conceptually related problems

In how many ways can a committee of three be appointed from 15 members?

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

Knowledge Check

  • In how many ways can a committee of 6 members be formed from 7 men and 6 ladies consisting of 4 men and 2 ladies ?

    A
    a)252
    B
    b)525
    C
    c)625
    D
    d)256
  • In how many ways, a committee of 3 men and 2 women can be formed out of a total of 4 men and 4 women?

    A
    15
    B
    16
    C
    20
    D
    24
  • In how many ways a committee of 6 members be formed from 7 men and 6 ladies consisting of 4 men and 2 ladies ?

    A
    252
    B
    525
    C
    625
    D
    256
  • Similar Questions

    Explore conceptually related problems

    Find the number of ways in which a committee of 11 members can be formed out of 6 teachers and 8 students if there are at least 4 teachers in the committee.

    In how many ways a committee of 5 members can be formed out of 8 gentlemen and 4 ladies, if one particularlady is always to be taken

    In how many ways can a committee of 5 be made out of 6 men and 4 women, containing at least 2 women?

    A committee of 5 members is to be formed out of 4 men ad 5 women. In how many ways this can be done.

    In how many ways can a committee of 5 made out 6 men and 4 women containing atleast one woman?