Question

Five boys and five girls sit alternatively around a round table. In how many ways can this be done
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Answer 1

Answer:

The girls can be seated either in the even-numbered seats or in the odd-numbered seats (2 possibilities); in either case they can be seated in 5! different orders; and the boys can then be assigned to the remaining 5 seats in 5! different ways, so we get a total of 2⋅5!

Step-by-step explanation:

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