In how many ways can spouses be arranged around a circle?

Question

In how many ways can five married couples be seated around a circle so that spouses sit together?

I tried 5! = 120 but I am not sure if my answer meets all conditions set in the question.

Answer 1

Permitting the five couples around the circle we have $\frac{5!}{5}=4!$ to account for the rotations of a permutation being the same. (I.e. 12345 is the same permutation as 23451 when placed in a circle. )

Then you can permute individuals within each couple. There are 2! Arrangements for each couple.

Thus the total arrangements is $4!*(2!)^5$

Answer 2

First let men's are arranged around circle in $4!$ ways now for every wife to seat with there husbands there are $2$ was either on right or left side therefore wife's can seated in $2^5$ ways. $$ $$ Hence total number of ways are $ 4!.2^5 $