5 boys and 5 girls
Probability
Level
3
5 boys and 5 girls are sitting around a round table. How many seating arrangements are there such that no girls are sitting next to each other?
The answer is 2880.
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1 solution
There are (5-1)! ways for the boys to sit around the round table. Now, we need to insert each girl between two boys, and there are 5! ways. There are 4!5!=2880 ways