I'd like to know if my solution is plausible.
4 couples are to be seated around a circular table. How many ways can they be seated if each person is sitting directly across from their spouse (i.e. there are three people between them and their spouse on either side)?
I went like this. Having to a round table gives me 7!2! to sit the first couple. For the second couple I have 6!2! to sit them (since I have 6 spot for the first person his spouse and him can just sit across which make for 2!) I managed to continue with that way of thinking to get in final.
is this answer plausible ? thank you and have a nice day