document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135819>Question 1135819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Your science group has 9 boys and 12 girls in it. You want them to work on a project together. how many different groups of 3 can you create? \r<BR>\n" );
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document.write( "and How many different groups of 6 can you create if you want 3 boys and 3 girls in the group?<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 #753498 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=753498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) There are 9+12=21 people in the group; you can choose any 3 of them.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2821%2C3%29+=+%2821%2A20%2A19%29%2F%283%2A2%2A1%29+=+1330 ALIGN=MIDDLE  ALT=\"C%2821%2C3%29+=+%2821%2A20%2A19%29%2F%283%2A2%2A1%29+=+1330\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "1330 different groups of 3 if there are no restrictions.<br><BR>\n" );
document.write( "(2) Now you have to choose 3 of the 9 boys AND 3 of the 12 girls.  The \"AND\" means you are going to multiply the two numbers to get the final answer.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%289%2C3%29%2AC%2812%2C3%29+=+84%2A220+=+18480 ALIGN=MIDDLE  ALT=\"C%289%2C3%29%2AC%2812%2C3%29+=+84%2A220+=+18480\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "18480 different groups of 6 consisting of 3 boys and 3 girls. </SPAN>\n" );
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