SOLUTION: In a national checker tournament 50 players were entered. Each played all of the other players once. How many games were played in all?

Question 709066: In a national checker tournament 50 players were entered. Each played all of the other players once. How many games were played in all?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a national checker tournament 50 players were entered. Each played all of the other players once. How many games were played in all?
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2 players::::: 1 game (think of a line)
3 players::::: 2 + 1 = 3 games (think of a triangle)
4 players::::: 3 + 2 + 1 = 6 games (think of a rectangle)
..........
..........
50 players:::: 49 + 48 + ... + 1 = (49/2)(1+49) = 1225 games
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Another way to think of it.
There are 50C2 pairs::: 50C2 = 1225 games
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Cheers,
Stan H.
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