Hint - Click the image to see how many ways to arrange 3 women
There are 3! ways of switching 3 women.
Hint - Click the image to see how many ways 3 women can separate 2 men
There are (4)(3) ways of separating two men around the women.
Therefore, there are (4)(3)(3!) are switching 3 women and 2 men ensuring that no two men are together.