Question

How many ways are there for eight men and five women to stand in a line so that no two women stand next to each other? [hint: first position the men and then consider possible positions for the women.]?

Answer 1

Answer:

The answer is 609638400, but no matter what I try I cannot reach that number. I have tried doing 2(8!5!/3!)∗(8!/5!) since each woman must be paired with a man in order to prevent two women getting near each other. But of course, it's the wrong answer.

Step-by-step explanation: