SOLUTION: 13. There are 14 teams competing in the Bilton Community Darts league. Teams are to be selected for the first and second divisions in the upcoming tournament. Each division is to h

Question 846171: 13. There are 14 teams competing in the Bilton Community Darts league. Teams are to be selected for the first and second divisions in the upcoming tournament. Each division is to have seven teams. If last years champs, the arrows, must be in the first division and the current league leaders, the bows, must be in the second division, in how many ways can the selection be made?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
13. There are 14 teams competing in the Bilton Community Darts league. Teams are to be selected for the first and second divisions in the upcoming tournament. Each division is to have seven teams. If last years champs, the arrows, must be in the first division and the current league leaders, the bows, must be in the second division, in how many ways can the selection be made?
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2 of the 14 teams are assigned; that leaves 12 unassigned.
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Pick a league:: 2 ways
Pick 6 teams for that league:: 12C6 = 924 ways
Assign the remaining teams to the other league:: 1 way
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Ans:: 2*924*1 = 1848 ways
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Cheers,
Stan H.
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