SOLUTION: There are 12 teams in a curling competition. After the round-robin portion the 1st place teams plays the 4th place team and the 2nd place team plays the 3rd place team in the semi-

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Question 118625: There are 12 teams in a curling competition. After the round-robin portion the 1st place teams plays the 4th place team and the 2nd place team plays the 3rd place team in the semi-finals. Determine the number of different possible pairings for the semifinal games. Explain your answer.
Any help would be appreciated. Thanks.

Answer by stanbon(48545) About Me  (Show Source):
You can put this solution on YOUR website!
There are 12 teams in a curling competition. After the round-robin portion the 1st place teams plays the 4th place team and the 2nd place team plays the 3rd place team in the semi-finals. Determine the number of different possible pairings for the semifinal games. Explain your answer.
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Choose two teams to be the 1st and 4th in 12C2 = 12*11/1*2 = 66 ways
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Choose two teams to be the 2nd and 3rd in 10C2 = 10*9/1/2 = 45 ways
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Total number of pairings for the semifinals = 66*45 = 2970
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Cheers,
Stan H.