How Many Different Scores Can Occur by the End of the Second Period in Hockey?

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In hockey, the maximum number of goals scored in a period is typically five, which limits the possible scores by the end of the second period. Given a final score of 7-2, the discussion highlights that only certain combinations can occur by that time. The valid scores at the end of the second period are 0-0, 1-0, 0-1, 2-0, 0-2, and 1-1. Therefore, the total number of different scores possible at that point is six. The initial calculation suggesting 24 different scores is incorrect based on the scoring rules.
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The final score in a hockey game is 7-2. How many different scores are possible at the end of the second period?

8x3=24?
 
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provided that the score could have been that early in the game and remained that way then all the permutations would be:

0 - 0
0 - 1
0 - 2
1 - 0
1 - 1
1 - 2
...
...
7 - 0
7 - 1
7 - 2

therefore 8 x 3 would be correct
 


Your calculation is incorrect. In hockey, the maximum number of goals that can be scored in a period is 5. Therefore, the maximum score at the end of the second period would be 5-0 or 0-5. This means that there are only 6 possible scores at the end of the second period: 0-0, 1-0, 0-1, 2-0, 0-2, and 1-1. So the correct answer would be 6, not 24.
 

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