document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=324911>Question 324911</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many 3 person groups can be formed in a club with 8 people?\r<BR>\n" );
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document.write( "daria can wash and detail 3 cars in 2 hours.  Larry can wash and detail the same 3 cars in 1.5 hours.  About how long will it take to wash and detail the 3 cars if they worked together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232776 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=232776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  how many 3 person groups can be formed in a club with 8 people?<BR>\n" );
document.write( "The 1st chosen is 1 of 8, then 1 of 7, then 1 of 6 --> 8*7*6<BR>\n" );
document.write( "But, since ABC is the same as CAB and CBA, you have to divide by 3*2*1<BR>\n" );
document.write( "8*7*6/(3*2*1) = 56<BR>\n" );
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document.write( "daria can wash and detail 3 cars in 2 hours. Larry can wash and detail the same 3 cars in 1.5 hours. About how long will it take to wash and detail the 3 cars if they worked together?<BR>\n" );
document.write( "The tasks are the same.<BR>\n" );
document.write( "Daria does 1/2 of the task per hour.<BR>\n" );
document.write( "Larry does 1/1.5 per hour.<BR>\n" );
document.write( "Together, they to 1/2 + 1/1.5 = 7/6 per hour<BR>\n" );
document.write( "--> 6/7 hours per task<BR>\n" );
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document.write( "If it's a timed test, use the shortcut product/sum<BR>\n" );
document.write( "2*1.5/(2+1.5) = 3/3.5<BR>\n" );
document.write( "= 6/7 hours<BR>\n" );
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