Question

Eleven soccer players wish to form a team consisting of 3 forwards, 3 midfielders, 4 defenders and one goalie. how many possible outcomes are there?

Answer 1

3! x 3! x 4! x 1!

= (3 x 2 x 1) x (3 x 2 x 1) x (4 x 3 x 2 x 1) x (1)

= 4 x 3³ x 2³

= 4 x 27 x 8

= 32 x 27

= 864

Answer: 864 possible outcomes