In how many ways can 3 girls and 3 boys sit around a circular table so that boys
and girls alternate?
First, let's consider the number of possible arrangements for just the boys or just the girls around the table.
There are 3 boys, so the number of ways they can sit around the circular table is 2! * 3! = 12.
Similarly, there are 3 girls, so the number of ways they can sit around the circular table is also 2! * 3! = 12.
Now, let's consider the total number of ways the 3 girls and 3 boys can sit around the table so that boys and girls alternate.
There are 2 ways to arrange the boys and girls around the table:
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For each of these arrangements, there are 12 ways for the boys and 12 ways for the girls to sit around the table. So, the total number of ways is 2 * 12 * 12 = 288.
Therefore, there are 288 ways for 3 girls and 3 boys to sit around a circular table so that boys and girls alternate.