The coach of a basketball team is trying to pick a
startinglineup. he has to fill 5 positions: a point guard, shooting
guard,small forward, power forward, and center. if the team roster
has 4point guards, 2 shooting guards, 4 small forwards, 1 power
forward,and 5 centers, how many different possible starting teams
can heselect?

He can select 160 different starting teams.

Step-by-step explanation:

He has:

4 point guards

2 shooting guards

4 small forwards

1 power forward

5 centers

This means that

For each point guard, he can select 2 shooting guards.

For each shooting guard, he can select 4 small forwards.

For each small forward, he can select one power forward.

For each power forward, he can select a center.

How many different possible starting teams can he select?

4*2*4*5 = 160

He can select 160 different starting teams.