SOLUTION: Student Painters, which specializes in painting the exterior of residential buildings, has eight people available to be organized into six-person and two-person teams. In how many

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Question 721071: Student Painters, which specializes in painting the exterior of residential buildings, has eight people available to be organized into six-person and two-person teams. In how many ways can the company organize the available people into six- or two-person teams?
Answer by stanbon(75887) About Me  (Show Source):
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Student Painters, which specializes in painting the exterior of residential buildings, has eight people available to be organized into six-person and two-person teams. In how many ways can the company organize the available people into six- or two-person teams?
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Since there are 8 painters, every time a 6 member team is formed,
a 2 member team is formed. So the number of 6 member teams quals
the number of 2 member beams.
Ans: 8c2 = (8*7)/(1*2) = 28
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Cheers,
Stan H.