In how many ways can the batting order be determined for a coed softball team w/ five women and four men if

a) there are no restrictions

b) the women must all bat first

c) the first and ninth batters must be men

a) is 9!

b) is 5!4!

c) I'm not sure about, let me know your thinking on it.

For c) how about 4*3*7!
Pick the first and last first
First you pick one of 4 men
Then you pick one of 3 men
Then you have all combinations of 7 remaining players
Thoughts?

Sounds right, I knew it would have 7! In it :)