Home
Class 11
MATHS
A committee of 7 has to be formed from 9...

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of:
(i) exactly 3 girls ? (ii) atleast 3 girls ? (iii) atmost 3 girls ?

Text Solution

Verified by Experts

The correct Answer is:
1632
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQs|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise LATEST EXAM MCQs|1 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise EXERCISE : 7.4|10 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Sequence and Series (Fill in the blanks )|48 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (QUESTION OF MODULE )|11 Videos

Similar Questions

Explore conceptually related problems

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has (i) no girl ? (ii) at least one boy and one girl ? (iii) at least 3 girls ?

A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?

A committee of 4 students is selected from a group of 8 boys and 4 girls. Given that there is at least one girl in the committee. Find probability of an event that there are exactly 2 girls in the committee.

In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?

n different things are arrnaged around a circle. In how many ways can 3 objects be selected when no two of the selected objects are consecutive?

In how many ways can 5 boys and 3 girls sit in a row so that no two girls are together ?

In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?

Assume that each born child is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that  (i) the youngest is a girl, (ii) at least one is a girl?

A committee of 6 is to be chosen from 10 men and 7 women. So as to contain atleast 3 man and 2 women. In how many different ways can this be done, if two particular women refuse to serve on the same committee ?

In how many different ways can five boys and five girls form a circle such that the boys and girls alternate?