SOLUTION: Five students hold a checkers tournament. In the first round, each of the students plays each of the other students just once. How many different games are played?

Question 626467: Five students hold a checkers tournament. In the first round, each of the students plays each of the other students just once. How many different games are played?
Answer by Edwin McCravy(20067) (Show Source): You can put this solution on YOUR website!

"5 choose 2", or "the combinations of 5 things taken 2 at a time".  It's
combinations, not permutations because order is not considered since 
A playing B is the same thing as B playing A.

C(5,2) =  =  =  = 10 

The 10 games are:

1. A and B play.
2. A and C play.
3. A and D play.
4. A and E play.
5. B and C play.
6. B and D play.
7. B and E play.
8. C and D play.
9. C and E play.
10. D and E play.

 Edwin

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