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

Algebra.Com
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): You can put this solution on YOUR website!
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
RELATED QUESTIONS

Twelve girls try out for the hockey team. Two play goal, four play defence, and the rest (answered by greenestamps)
in how many ways can a team of 13 players line up in a row to pose for a... (answered by jim_thompson5910)
A gym teacher has 7 sixth grade students who would like to play on the school's hockey... (answered by Alan3354)
Q.1 In the Olympic sport of biathlon, athletes must cross country ski and then shoot a... (answered by Boreal)
The traveling squad for a basketball team consists of two centers, five forwards, and... (answered by consc198,JWG)
Team A and Team B are playing in the World Series (7 games). So far Team B has won 2... (answered by lynnlo)
Goals scored by a hockey team: 3,5,0,1,2,5,1,6,1,5,4,4,2 The team scored the same... (answered by jim_thompson5910)
The probability that a certain hockey team will win any given game is 0.3847 based on... (answered by Fombitz)
In a hockey tournament, teams are awarded 3 points for a win, 2 points for an overtime... (answered by Alan3354,ikleyn,josgarithmetic)