CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Quantitative Aptitude

Combination

A group has t...

Question

A group has to be formed comprising 8 members such that there is a simple majority of men and atleast one woman. There are 8 men and 7 women. In how many ways it can be done?

A

2584

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

2604

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

2684

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

2704

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 2604
Three possibilities
1W + 7 M, 2W + 6 M and 3 W + 5 M
$= (^{7} C_{1} \times^{8} C_{7}) + (^{7} C_{2} \times^{8} C_{6}) + (^{7} C_{3} \times^{8} C_{5}) = 56 + 588 + 1960 = 2604$

Suggest Corrections

thumbs-up

1

Similar questions

Q. A committee is to be formed comprising

7

members such that there is a simple majority of men and at least

1

woman. The shortlist consists of

9

6

women. In how many ways can this committee be formed?

7

8

women. In how many ways a committee of

4

members can be made such that a particular woman is always included

Q. Out of 5 men and 3 women, a committee of 3 members is to be formed such that it has 1 woman and 2 men. In how many different ways can it be done?

Q. A committee of 3 members is to be formed out of 3 men and 4 women. In how many different ways can it be done so that atleast one member is woman?

Q. A committee of 8 persons is to be constituted from a group of 5 women and 7 men. In how many ways can this be done? In how many ways can the committee be formed if it consists of atleast 3 women and 3 men? What value is depicted by taking men and women in forming the committee?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Permutation

QUANTITATIVE APTITUDE

Watch in App

explore_more_icon

Explore more

Other Quantitative Aptitude

Join BYJU'S Learning Program

CrossIcon