In how many ways can 4 boys and 4 girls sit around a circle table if each boy sits directly between two girls? (Rotations of the same arrangement are still considered the same. Each boy and girl is unique, not interchangeable.)
Yes, I agree with that answer.
The first person can be seated anywhere.
Then there are 3 people of that gender left and they can be seated in 3! ways.
Then the 4 others can be sat in 4! ways.
That is 3!*4! ways altogether :)
I think the answer is:
3! x 4! =6 x 24 =144 different ways they can be seated.
