A play has two different male roles, two different female roles and two different roles that can be either gender. Only a man can be assigned to a male role, and only a woman can be assigned to a female role. If five men and six women audition, in how many ways can the six roles be assigned?
5*4 for the male roles 6*5 for the female roles after they are assigned 7*6 for the either gender 20+30+42 =92 total ways or 20*30*42= 25200 total ways
