Hi All,
If you're comfortable using the Combination Formula, then calculating that 30 games were played is a fairly straight-forward task. If you're not comfortable with that formula yet, here's another way to figure out that 30 games were played.....
The teams are A, B, C, D, E and X
Team A plays each of the other 5 teams TWICE, so that's 2(5) = 10 games
Since B ALREADY played Team A twice, we won't count those games again; Team B plays each of the remaining 4 teams twice, so that's 2(4) = 8 games
Since C ALREADY PLAYED Team A and Team B, we won't count those games again, Team C plays each of the remaining 3 teams twice, so that's 2(3) = 6 games.
This pattern continues, giving us...
10+8+6+4+2+0 = 30 total games.
From there, the rest of the work is based on addition.
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Rich
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