Knowee
Questions
Features
Study Tools

In how many ways 3 boys and 3 girls can be seated in a row so that boys and girls are alternate?Choices:- 6 3! 2*3! * 3! 9!

Question

In how many ways 3 boys and 3 girls can be seated in a row so that boys and girls are alternate?Choices:- 6 3! 2*3! * 3! 9!

🧐 Not the exact question you are looking for?Go ask a question

Solution

The problem involves arranging 3 boys and 3 girls alternately in a row.

Step 1: We first consider the boys and girls as separate groups. We can arrange these two groups in 2! ways, because the boys could be first or the girls could be first.

Step 2: Within each group, we can arrange the individuals. There are 3 boys and 3 girls, so we can arrange each group in 3! ways.

Step 3: Since the arrangements within each group are independent of each other, we multiply the number of arrangements together. So, the total number of arrangements is 2! * 3! * 3!.

Therefore, the answer is 2*3! * 3!.

This problem has been solved

Similar Questions

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

There are 3 seats in a row. In how many different ways can 5 boys occupy them?

In how many ways can 3 boys and 2 girls be arranged on a bench if all boys wish to sit together?Group of answer choices24364860

Find the number of ways in which 5 boys and 5 girls can be seated in a row so that(a) No two girls may sit together

In how many ways can you choose a group of four persons out of three girls and seven boys such that the group has only one girl?Choices:- 105 210 120 224

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.