# Math Help - please, i'm in a hurry...... combinations

1. ## please, i'm in a hurry...... combinations

12 girls try out for a hockey team. two can play only in goal, 4 girls can play only on defence, and the rest can play either centre or forward. In how many different ways can the coach make up the starting line-up?
(the answer is 240, basicly, i don't understand the question well)
thank you for any help

2. who can come to save me...............

3. Originally Posted by ives
who can come to save me...............

Someone who is able to answer your question will be along shortly to assist you.

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4. Originally Posted by ives
12 girls try out for a hockey team. two can play only in goal, 4 girls can play only on defence, and the rest can play either centre or forward. In how many different ways can the coach make up the starting line-up?
(the answer is 240, basicly, i don't understand the question well)
thank you for any help
For goalies, we have ${2 \choose 1}$ = 2

For defense, we have ${4 \choose 2}$ = 6

For offense, we have ${6 \choose 3}$ = 20

Total Combinations of starting lineup = 2 * 6 * 20 = 240

5. thank you`

6. For those that do not follow hockey, I should have clarified above, there are 3 offensive players (Left Wing, Center, Right Wing), 2 defensive players, and 1 goalie on the ice for a starting lineup.

7. hehe, that's why i struggle with this question, i just thought it is the same as the soccer.......... thank you very much again

8. Originally Posted by ives
hehe, that's why i struggle with this question, i just thought it is the same as the soccer.......... thank you very much again
They may ask you a question along the lines of, "How many combinations of ??? if they pull the goalie?"

If they ask that, when a goalie is pulled from the game, the team is allowed to replace the goalie with 1 player. They usually put them on offense. Keep that in mind if you run across a question like that. Therefore, the total amount of players on the ice does not change, but individual combos of offense/defense/goalies will change.