Student: 9 basketball players are trying out to be on a newly formed basketball team. Of these players, 5 will be chosen for the team. If 6 of the players are guards and 3 of the players are forwards, how many different teams of 3 guards and 2 forwards can be chosen?\nOptions:\n(A) 23\n(B) 30\n(C) 42\n(D) 60\n(E) 126.
Another student: Let's say, hmmm...

User
Out of 6 gaurds we have to select 3 -> selection means we use C -> so 6C3\nOut of 3 forwards we have to select 2 -> selection means we use C -> so 3C2\nTotal ways = 6C3 x 3C2 = 60 Final answer: (D).
Assistant