Team A has 6 male and 4 female players, team B has 8 male and 2 female players. Two players are to be selected from each of the two team. In how many ways can the four players be selected so that at least one of them is female?

Question

Team A has 6 male and 4 female players, team B has 8 male and 2 female players. Two players are to be selected from each of the two team.  In how many ways can the four players be selected so that at least one of them is female?

amistre64 · Answer

determine how many players can be selected entotal, then the complement can be subtracted from it

amistre64 · Answer

so, total is:  10 choose 2, plus, 10 choose 2 entotal

only a male is 6 choose 2, plus, 8 choose 2

all the other ways would have to have at lest 1 female right?

amistre64 · Answer

*** only males is .....