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10 players enter a tennis tournament. The organizers want to match up the 10 players into 5 group...

10 players enter a tennis tournament. The organizers want to match up the 10 players into 5 groups of 2 to play each other in

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10 players enter a tennis tournament. The organizers want to match up the 10 players into 5 groups of 2 to play each other in the first round. How many ways are there to pair the players if (a) there are no further restrictions? (b) ...5 of the 10 players are ranked higher (top seeds) than the other 5, and the high-ranked players must be paired with low rank players? (e) 3 of the 10 are top seeds and must not be paired together in the first round?
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