5 boys and 5 girls

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

Jun Shin
Mar 1, 2016

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

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