A 6 member co-ed basketball team is chosen from a group of 8 women and 10 men. If there must be at least one member of each gender on the team, how many different ways can the team members be chosen?

Answer 1

There are 8 possible choices for the required woman and 10 for the required man. The 3rd choice can be any of the remaining 16 and so on. Therefore, the possible combinations are 8*10*16*15*14*13=3,494,400