First place 10 women in 10! ways.
- W1 - W2 - W3 - W4 - W5 - W6 - W7 - W8 - W9 - W10 -.
Now there will be 11 position where you can place a man. Select 6 position among these 11, C(11, 6). Now arrange these men with 6! ways.
So answer: 10! * C(11, 6) * 6!.