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

[gillgill]

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?

 

[exequor]

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

 

[thepatientmental]

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.