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