document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329066>Question 329066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Out of 15 boys and 9 girls, how many different committees can be formed each consisting of 6 boys and 4 girls? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235772 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Choose 6 from the 15 boys and 4 from the 9 girls. \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2815%2C6%29%2AC%289%2C4%29=630630 ALIGN=MIDDLE  ALT=\"C%2815%2C6%29%2AC%289%2C4%29=630630\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Do you have a calculator that does combinations and permutations?. Many calculators do these operations. It is easier than working through the formula.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2815%2C6%29=15%21%2F%286%219%21%29=5005 ALIGN=MIDDLE  ALT=\"C%2815%2C6%29=15%21%2F%286%219%21%29=5005\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Example:\r<BR>\n" );
document.write( "\n" );
document.write( "If we write this out and cancel the appropriate terms, we get:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A14%2A13%2A12%2A11%2A10%2A9%2A8%2A7%2A6%2A5%2A4%2A3%2A2%2F%28%286%2A5%2A4%2A3%2A2%29%2A%289%2A8%2A7%2A6%2A5%2A4%2A3%2A2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Cancelling, it whittles down to:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A7%2A13%2A11=5005 ALIGN=MIDDLE  ALT=\"5%2A7%2A13%2A11=5005\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );