Question

William is drafting his fantasy basketball team. He needs to select one player for each position. The following table shows how many players are available for each position.

Position Number of players
Point guard 10
Shooting guard 12
Small forward 7
Power forward 2
Center 9
How many different teams could William draft?

Answer 1

Answer: 15120

Explanation:

Given: The number of players at point guard = 10

The number of players at shooting guard = 12

The number of players at small forward = 7

The number of players at power forward = 2

The number of players at center = 9

Then, the number of different teams William could draft is given by :-

Hence, William could draft 15120 different teams.

Answer 2

15120

Explanation:

Given:

The number of players at point guard = 10

The number of players at shooting guard = 12

The number of players at small forward = 7

The number of players at power forward = 2

The number of players at center = 9

Then, the number of different teams William could draft is given by:

10 x 12 x 7 x 2 x 9

William could draft 15120 different teams.