I have the following exercise. Please help me to solve it.

**Exercise**. In how many ways can 3 men and 3 women be seated at a round table if

**(a)** no restriction is imposed

**(b)** 2 particular women must not sit together

**(c)** each woman is to be between 2 men.

**Ideas**

**(a)** simple case, it's just $5!$, I am still hardly getting the idea of round table and the first man taking any place. We don't count him because the table is round is it correct? So the table doesn't have the beginning and end, so we can start comparing permutation from any of the guests, therefore we don't count the first man, I still don't have good understanding why it happens.

**(b)**
I've never saw the template for "must not sit together", usually when the is a group that must sit together we take them as one guest and on addition count the permutation within the group, but here I don't know to reason about the solution.

**(c)** extremely hard, I even don't have ideas.

I would appreciate for any help.