document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=660952>Question 660952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In an experiment involving a treatment applied to 6 test subjects, researchers plan to use a simple random sample of 6 subjects selected from a pool of 8 available subjects. How many different random samples are possible?\r<BR>\n" );
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document.write( "A.210\r<BR>\n" );
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document.write( "B.250\r<BR>\n" );
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document.write( "C.28\r<BR>\n" );
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document.write( "D.7776 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #411424 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=411424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer is highlighted in <font color=\"red\">red</font> below\r<BR>\n" );
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document.write( "In an experiment involving a treatment applied to 6 test subjects, researchers plan to use a simple random sample of 6 subjects selected from a pool of 8 available subjects. How many different random samples are possible?<BR>\n" );
document.write( "A.210<BR>\n" );
document.write( "B.250<BR>\n" );
document.write( "<font color=\"red\">C.28</font><BR>\n" );
document.write( "D.7776\r<BR>\n" );
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document.write( "Here's why the answer is <font color=\"red\">choice C.</font>\r<BR>\n" );
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document.write( "You have 8 choices for the first slot, 7 for the second, 6 for the 3rd, 5 for the 4th, 4 for the 5th, and 3 for the 6th\r<BR>\n" );
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document.write( "So if order matters, then you have 8*7*6*5*4*3 = 20,160 different ways to choose 6 people from a pool of 8.\r<BR>\n" );
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document.write( "But order doesn't matter, so you have to divide by 6! = 6*5*4*3*2*1 = 720 to get\r<BR>\n" );
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document.write( "20160/720 = 28\r<BR>\n" );
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document.write( "So there are <font color=\"red\">28</font> random samples. </SPAN>\n" );
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