When Spain played Belgium in the preliminary round of the men's hockey competition in the 2008 Olympics, the final score was 4−2.
In this match, there are a number of different possible scores at half time. No goals whatsoever could have been scored at half-time, all the way up to all six goals being scored.
Spain scored 4 goals at the end of the match. At half time they could have have scored any amount: 0, 1, 2, 3 or 4. This totals to five different possibilites.
Similarly, Belgium scored 3 goals. They could have scored 0, 1 or 2 at half time.
There are 5 different possibilites for the Spain's goals and 3 for Belgium's goals. Therefore there are 5 x 3 = 15 different possibilites at half time.
These are:
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, 4-2
For the match that ended 3-3, there were 4 possibilites for the first number of goals, and 4 for the second. This is 4 x 4 = 16 possibilites at half time.
These are:
0-0, 0-1, 0-2, 0-3, 1-0, 1-1, 1-2, 1-3, 2-0, 2-1, 2-2, 2-3, 3-0, 3-1, 3-2, 3-3