MyQuestionIcon

1

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

Permutation under Restriction

Out of 6 boys...

Question

Out of 6 boys and 6 girls, a group of 8 is to be formed. In how many ways can this be done if the group should have 4 boys?

__

Open in App

Solution

Since , we have to select 4 boys remaining 4 can be girls

4 boys and 4 girls can be selected = $^{6} C_{4} \times^{6} C_{4} = 225$

Suggest Corrections

thumbs-up

0

Similar questions

Out of 6 boys and 4 girls, a group of 7 is to be formed. In how many ways can this be done if the group is to have a majority of boys?

Q. There is a group of

20

people that has

12

8

boys. A team of

6

players is to be formed from this group, having

3

3

boys. In how many ways can such a group be formed?

Q. In how many ways a group of

3

2

girls can be formed out of a total of

4

4

Q. A committee of 7 has to be formed 9 boys and 4 girls in how many ways can this be done when the committee consist of exactly 3 girls?

Q. In a group of

6

4

girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Permutations

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Permutation under Restriction

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon