In how many ways can 4 boys and 4 girls be seated around a circular tabl
Question
In how many ways can 4 boys and 4 girls be seated around a circular tabl
Solution
The problem involves arranging people around a circular table, which is a case of circular permutation.
In circular permutations, we consider one person as a reference and arrange the others in relation to that person. This is because in a circular arrangement, there is no start or end.
Step 1: Fix one person Let's fix one boy first. Now we have 7 people left (3 boys and 4 girls).
Step 2: Arrange the rest The remaining 7 people can be arranged in 7! ways.
So, the total number of ways 4 boys and 4 girls can be seated around a circular table is 7! = 5040 ways.
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