SOLUTION: Student painters which specialize in painting the exterior of residential buildings have five people available to be organized into two-person and three-person teams. A) In how man

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Question 1099018: Student painters which specialize in painting the exterior of residential buildings have five people available to be organized into two-person and three-person teams. A) In how many ways can the two-person team be formed? B) In how many ways can the three-person team be formed? C) In how many ways can the company organize the available people into two or three person teams?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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A)  In how many ways can the two-person team be formed?

    In C%5B5%5D%5E2 = %285%2A4%29%2F2 = 10 ways.



B)  In how many ways can the three-person team be formed? 

    In C%5B5%5D%5E3 = %285%2A4%2A3%29%2F%281%2A2%2A3%29 = 10 ways.



C)  In how many ways can the company organize the available people into two or three person teams?

    If you select 2 persons for a 2-persons team,  then the remaining 3 automatically form the team of a 3-persons team.


    Therefore, the answer in this case is the same "10 ways", as in cases A) and B).



    By the way, due to THE SAME REASON, the answers for cases A) and B) coincide.