There are 20 people at a chess club on a certain day. They each find opponents and start

Chapter 1, Problem 6

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There are 20 people at a chess club on a certain day. They each find opponents and start playing. How many possibilities are there for how they are matched up, assuming that in each game it does matter who has the white pieces (in a chess game, one player has the white pieces and the other player has the black pieces)

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