Student Painters, which specializes in painting the exterior of residential buildings, has eight people available to be organized into three-person and five-person teams. Within a team, each person has a different job. (a) Using the generalized multiplication principle, determine how many ways a three-person team can be formed?  ways (b) Using the generalized multiplication principle, determine how many ways a five-person team can be formed?  ways (c) Using your results from parts (a) and (b), determine how many ways the company can form either a three-person team or a five-person team from the available people?  ways

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Student Painters, which specializes in painting the exterior of residential buildings, has eight people available to be organized into three-person and five-person teams. Within a team, each person has a different job.

(a) Using the generalized multiplication principle, determine how many ways a three-person team can be formed?
 ways

(b) Using the generalized multiplication principle, determine how many ways a five-person team can be formed?
 ways

(c) Using your results from parts (a) and (b), determine how many ways the company can form either a three-person team or a five-person team from the available people?
 ways
 
 
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