There can be:
1. 6 women, no men: (6, 0) (only possible way) (all sitting next to a woman)
2. 5 women, 1 man: (6, 2) (only possible way) (all 6 must sit next to a woman, 2 woman sitting next to the man)
3. 4 women, 2 men: (6, 4) (if the men sit next to or opposite of each other); or (5, 3) (if they sit one apart)
4. 3 women, 3 men: Arrangements can be WWWMMM or WWMWMM or MMWMWW, so it's (5, 5); or WMWMWM would be (3, 3)
5. 2 women, 4 men: Symetrical with 3., (4, 6) or (3, 5)
6. 1 woman, 5 men: Symetrical with 2., (2, 6)
7. 0 women, 6 men: Symmetrical with 1., (0, 6)
That's all!