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
(11)}{2})
You can do your own arithmetic.
John
My calculator said it, I believe it, that settles it
Answer by greenestamps(13200)  (Show Source):
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