Thread: A question which my friend gave me

6 men and 3 women stand in a Straight line
How many diff ways can they stand such that no two women stand next to each other?

The men can arrange themselves in ways in a line. Then women can stand in the gaps between the men as well as at the extreme ends of the line, so they can arrange themselves in ways. Hence the total number of ways of arranging the people is

I was assuming the men were indistinguishable for some reason. Too much Halloween last night