Question

There are 8 men and 4 women in a group. If 3 men and 2 women are chosen to be arranged in a line, how many distinct line-ups are there?

Answer 1

The answer to this was 40320. Which is not equivalent to what you were saying. That was what I also thought, but then it was wrong

Answer 2

Are there any missing infos?

Answer 3

None

Answer 4

The number of combinations of 3 men and 2 women is given by 8C3 * 4C2 = 336
Each of these 336 combinations of 3 men and 2 women can be arranged in 5! ways. Therefore the number of distinct line-ups is given by:
\[\large 336\times5\times4\times3\times2\times1=you\ can\ calculate\]

Answer 5

Woah. Thanks for that

Answer 6

AH, never thought of the 5 ways

Answer 7

You're welcome :)