document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #713433 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "A)  In how many ways can the two-person team be formed?\r\n" );
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document.write( "    In  =  = 10 ways.\r\n" );
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document.write( "B)  In how many ways can the three-person team be formed? \r\n" );
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document.write( "    In  =  = 10 ways.\r\n" );
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document.write( "C)  In how many ways can the company organize the available people into two or three person teams?\r\n" );
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document.write( "    If you select 2 persons for a 2-persons team,  then the remaining 3 automatically form the team of a 3-persons team.\r\n" );
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document.write( "    Therefore, the answer in this case is the same \"10 ways\", as in cases A) and B).\r\n" );
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document.write( "    By the way, due to THE SAME REASON, the answers for cases A) and B) coincide.\r\n" );
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