SOLUTION: A hockey team is lining up in a row for a group photo. Their team has 1 goalie, 4 defense, and 7 forwards. The photographer wants the defense on one side of the goalie and the forw
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Question 927196: A hockey team is lining up in a row for a group photo. Their team has 1 goalie, 4 defense, and 7 forwards. The photographer wants the defense on one side of the goalie and the forwards on the other side. How many ways can the team stand in a row for this pose? Answer by Edwin McCravy(20056) (Show Source):
2 choices as to which sides of the goalie the defense and forwards are on.
For each of those 2 ways, there are 4! wayse the defense players can be arranged.
For each of those 3*4! ways, there are 7! ways the forwards can be arranged.
Rhat's 2*4!*7! = 2*24*5040 = 483840 ways.
Edwin
