In hockey, teams play three 20 minute periods. At the end of a hockey game, Team A had 4 goals and Team B had 2 goals. How many different Team A to Team B scores were possible at the end of the first period?
The possible scores were:
0-0,
0-1,
0-2,
1-0,
1-1,
1-2,
2-0,
2-1,
2-2,
3-0,
3-1,
3-2,
4-0,
4-1, and
4-2.
So there were 15 possible scores. How many scores would be possible at the end of the first period if the score at the end was Team A 5 and Team B 4?
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