There are 4 couples which need to be seated on a round table such that all couples sit together, and in 2 couples the male sits on the right of his partner, and on the left in the other two couples. How many ways in which is this possible?
I saw this question on an exam. My reasoning is first consider the 4 couples as 4 units around a circle in 6 ways, and then arrange them in which 2 males are on the left and the other 2 are on the right in 6 ways as LLRR can be arranged in 6 ways. So, the total is 36 ways. Is this reasoning correct?