In how many ways can 4 boys and 4 girls sit around a circle table if all the boys sit together? (Rotations of the same arrangement are still considered the same. Each boy and girl is unique, not interchangeable.)
Thanks!!
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In how many ways can 4 boys and 4 girls sit around a circle table if all the boys sit together? (Rotations of the same arrangement are still considered the same. Each boy and girl is unique, not interchangeable.)
Sit one child anywhere.
Choose any 4 consecutive seats for the boys. There are 4! ways to seat them.
and there are also 4! ways to seat the girls.
So that makes 4!*4! ways = 24*24= 576 ways
