The acting group is putting a play that has 4 females &

[dddanny2006]

Source-Princeton Review
The acting group is putting a play that has 4 female and 3 male roles.There are 5 women and 5 men. How many ways the roles can be assigned?


Correct Answer is 7200

My method.

Women

(5*4*3*2) =5--------------Order doesnt matter
(4!)


Men
5*4*3 =10-----------Order doesnt matter
3!


Therefore 5*10=50

Please tell me my mistake

[RonPurewal]

The different character roles in a play are, well, different, so order matters.