SOLUTION: A manager has a panel of 11 players to choose from . He must pick a team of 6 players to play in a match. Two of the other players melissa and amy both like the same boy so ca

Algebra ->  Permutations -> SOLUTION: A manager has a panel of 11 players to choose from . He must pick a team of 6 players to play in a match. Two of the other players melissa and amy both like the same boy so ca      Log On


   

Question 644453: A manager has a panel of 11 players to choose from . He must pick a team of 6 players to play in a match.
Two of the other players melissa and amy both like the same boy so cannot stand each other . They cannot play together on the same team . How many different teams can be selected if melissa and amy cannot both be on the same team
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A manager has a panel of 11 players to choose from . He must pick a team of 6 players to play in a match.
Two of the other players melissa and amy both like the same boy so cannot stand each other . They cannot play together on the same team . How many different teams can be selected if melissa and amy cannot both be on the same team
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# of teams with melissa and without amy: 10C6 = 210
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# of teams with amy and without melissa: 10C6 = 210
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# of teams without both on the same team: 420
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Cheers,
Stan H.
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