Home
Class 11
MATHS
A committee of 6 is to be chosen from 10...

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 ?

Text Solution

Verified by Experts

The correct Answer is:
7800
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE QUESTIONS)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (FILLERS)|8 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|20 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

Six X 's have to be placed in the squares of the figure below, such that each row contains atleast one X. in how many different ways can this be done?

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?

The number of ways in which we can choose a committee from four men and six women, so that the committee includes atleast two men and exactly twice as many women as men is

A committee of two persons is selected from two men and two women. What is the Probability probability that the committee will have (a) no man ? (b) one man ? (c) two men?

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 ?

In how many ways 7 men and 7 women can be seated around a round table such that no two women can sit together

From a committee of 10 persons, in how many ways can we choose a chairman, vice-chairman and president assuming one peron can not hold more than one position ?

A box contains two white, there black and four red balls. In how many ways can there balls be drawn from the box, if atleast one black ball is to be included in the draw ?

How many different selections of 6 books can be made from 11 different books, if (i) two particular books are always selected. (ii) two particular books are never selected?