Jessica Jedrzejczyk > Quizzes and Tests MI 6. The hockey team has 18 players, Only 5 of the players can be on the ice at once. (a) We want to find the number of possible groups of any 5 players the coach can choose (ignoring players positions). Is this a permutation or a combination? Why? Write your answer In complete sentence. (3 points) (b) If the coach wanted to choose his 5 starters at random, from all 18 players (ignoring players positions). how many possible groups of 5 starters could he choose? Show your work. (4 points) (c) Of the 18 total players, twelve of the players are trained to be forwards while the remaining 6 can play defense. The coach wants to make sure there is exactly 3 forwards, of the twelve possible, and 2 defenders, of the six possible, on the ice. How many ways can the coach choose a lineup of 5 players if exactly 3 players must be forwards, and the remaining 2 are defenders? Show your work. (4 points) (d) Find the probability that random selection of five players would result in a selection of three forwards and two defenders? Show you work. (3 points)