SOLUTION: In a baseball tournament consisting of twelve teams, in which each team plays every other team once, how many games will there be? Multiple choice answers: a. 15 b. 720 c.

Question 1161690: In a baseball tournament consisting of twelve teams, in which each team plays every other team once, how many games will there be?
Multiple choice answers:
a. 15
b. 720
c. 24
d. 66
Found 2 solutions by solver91311, greenestamps:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Team 1 plays against 2, 3, 4,...,11, 12, a total of 11 teams

Team 2 plays against 1, 3, 4,...,11, 12, also 11 teams, but we already counted 2 vs. 1 when we counted Team 1's opponents. Hence, 10 teams.

Similarly, Team 3 plays against 11 teams, but 2 of those have already been counted, so 9 teams.

And so on. In summary:

Team 1 11 Team 2 10 Team 3 9 Team 4 8 Team 5 7 Team 6 6 Team 7 5 Team 8 4 Team 9 3 Team 10 2 Team 11 1 Team 12 0

So

You can do your own arithmetic.

John

My calculator said it, I believe it, that settles it

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Each game is between 2 of the 12 teams. The number of games is

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