document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459810>Question 459810</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.How many committees of 5 people are possible from a group of 15? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #315369 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=315369\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number of ways (or combinations) in which r objects can be selected from a set of n objects, where repetition is not allowed, is denoted by:<BR>\n" );
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document.write( "n C r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%21%29%2F%28r%21%28n-r%29%21%29 ALIGN=MIDDLE  ALT=\"%28n%21%29%2F%28r%21%28n-r%29%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "In your case,<BR>\n" );
document.write( "n = number of people in the group = 15<BR>\n" );
document.write( "r = number of people in a committee = 5 <BR>\n" );
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document.write( "15 C 5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%21%29%2F%285%21%2815-5%29%21%29+=+%2815%21%29%2F%285%2110%21%29 ALIGN=MIDDLE  ALT=\"%2815%21%29%2F%285%21%2815-5%29%21%29+=+%2815%21%29%2F%285%2110%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "15 C 5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2A14%2A13%2A12%2A11%2A10%21%29%2F%285%2A4%2A3%2A2%2A1%2A10%21%29 ALIGN=MIDDLE  ALT=\"%2815%2A14%2A13%2A12%2A11%2A10%21%29%2F%285%2A4%2A3%2A2%2A1%2A10%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Notice that a bunch of factors will cancel out. Eliminate those before you go to your calculator.<BR>\n" );
document.write( "15 C 5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2A13%2A3%2A11%29 ALIGN=MIDDLE  ALT=\"7%2A13%2A3%2A11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "15 C 5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3003 ALIGN=MIDDLE  ALT=\"3003\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So, there are 3,003 different ways to form 5-person committees from a group of 15 people. \r<BR>\n" );
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document.write( "Hope this helps!\r<BR>\n" );
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document.write( "Ms. Figge<BR>\n" );
document.write( "math_in.the_vortex\r<BR>\n" );
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