document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083063>Question 1083063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Board of directors of a company wants to<BR>\n" );
document.write( "randomly form a quality management<BR>\n" );
document.write( "committee of 5 members to monitor quality<BR>\n" );
document.write( "of their products . \r<BR>\n" );
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document.write( "The company has 5<BR>\n" );
document.write( "scientists , 4 engineers , and 6 accountants .\r<BR>\n" );
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document.write( "What is the probability that the committee<BR>\n" );
document.write( "will contain 2 scientists , 1 engineer , and 2<BR>\n" );
document.write( "accountants ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697061 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=697061\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 5 scientists<BR>\n" );
document.write( "There are 4 engineers<BR>\n" );
document.write( "There are 6 accountants<BR>\n" );
document.write( "In total there are 5+4+6 = 15 people.\r<BR>\n" );
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document.write( "Using the <a  rel=nofollow HREF=\"http://www.mathwords.com/c/combination_formula.htm\">combination formula</a>, there are 15 C 5 = 3003 ways to pick 5 people from a pool of 15 candidates. This is where order does not matter. With many committees, the members are equal in standing making order not important. That is the case here. \r<BR>\n" );
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document.write( "There are 5 C 2 = 10 different ways to pick 2 scientists from a pool of 5<BR>\n" );
document.write( "There are 4 C 1 = 4 different ways to pick 1 engineer from a pool of 4<BR>\n" );
document.write( "There are 6 C 2 = 15 different ways to pick 2 accountants from a pool of 6<BR>\n" );
document.write( "Again order doesn't matter.\r<BR>\n" );
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document.write( "Multiply those results: 10*4*15 = 600<BR>\n" );
document.write( "So there are 600 ways to pick 2 scientists, 1 engineer and 2 accountants\r<BR>\n" );
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document.write( "Divide the number of ways to get the outcome we want (600) over the total number of ways to pick a committee (3003) to get 600/3003 = 200/1001 = 0.1998 = 19.98%\r<BR>\n" );
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document.write( "The decimal and percent values are approximate\r<BR>\n" );
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document.write( "Final Answer as a fraction: <font color=red>200/1001</font><BR>\n" );
document.write( "Final Answer as a decimal: <font color=red>0.1998</font> (approximate)<BR>\n" );
document.write( "Final Answer as a percentage: <font color=red>19.98%</font> (approximate)\r<BR>\n" );
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document.write( "These are all equivalent ways of stating the same thing. The answer you provide your teacher will depend on the instructions s/he gives you. </SPAN>\n" );
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