document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158935>Question 1158935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Finite mathematics- \r<BR>\n" );
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document.write( "Miss Anderson wants to select a committee of five people from her class for student council. Her class consists of 10 freshman, 3 sophomores, 6 juniors, and 8 seniors. <BR>\n" );
document.write( "     A) How many five person committees have 2 freshmen, 1 sophomore, and 2 seniors? <BR>\n" );
document.write( "     B) How many five person committees have exactly 1 sophomore? <BR>\n" );
document.write( "     C) How many five person committees have at least 2 juniors? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781997 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <i><b>A)How many five person committees have 2 freshmen, 1 sophomore, and 2 seniors?</i></b><BR>\n" );
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document.write( "10C2 * 3C1 * 8C2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%21%2F%282%21%2A8%21%29%29+%2A+%283%21%2F%281%21%2A2%21%29%29+%2A+%288%21%2F%282%21%2A6%21%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = 45 * 3 * 28 = <b>3780</b><BR>\n" );
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document.write( "<i><b>B)How many five person committees have exactly 1 sophomore?</i></b><BR>\n" );
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document.write( "3C1 * 24C4 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%21%2F%281%21%2A2%21%29%29+%2A+%2824%21%2F%284%21%2A20%21%29%29 ALIGN=MIDDLE  ALT=\"%283%21%2F%281%21%2A2%21%29%29+%2A+%2824%21%2F%284%21%2A20%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 * 10626 = <b>31878</b><BR>\n" );
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document.write( "<i><b>C)How many five person committees have at least 2 juniors?</i></b><BR>\n" );
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document.write( "(6C2 * 21C3) + (6C3 * 21C2) + (6C4 * 21C1) + 6C5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286%21%2F%282%21%2A4%21%29%29+%2A+%2821%21%2F%283%21%2A18%21%29%29%29+%2B+%28%286%21%2F%283%21%2A3%21%29%29+%2A+%2821%21%2F%282%21%2A19%21%29%29%29+%2B+%28%286%21%2F%284%21%2A2%21%29%29+%2A+%2821%21%2F%281%21%2A20%21%29%29%29+%2B+%286%21%2F%285%21%2A1%21%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "= (15 * 1330) + (20 * 210) + (15 * 21) + 6 <BR>\n" );
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document.write( "= 19950 + 4200 + 315 + 6 = <b>24471</b> </SPAN>\n" );
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