document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1092067>Question 1092067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A class contains 9 boys and 3 girls. In how many ways can a committee of 4 students be formed if the committee must contain at least one girl? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706576 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=706576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>The total number of ways of forming a committee of 4 from 12 students is \"12 choose 4\", which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2812%2C4%29+=+%2812%21%29%2F%28%288%21%29%284%21%29%29+=+495 ALIGN=MIDDLE  ALT=\"C%2812%2C4%29+=+%2812%21%29%2F%28%288%21%29%284%21%29%29+=+495\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The number of ways of forming the committee with only boys is \"9 choose 4\",<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%289%2C4%29+=+%289%21%29%2F%28%285%21%29%284%21%29%29+=+126 ALIGN=MIDDLE  ALT=\"C%289%2C4%29+=+%289%21%29%2F%28%285%21%29%284%21%29%29+=+126\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So the number of ways of forming the committee with at least one girl is 495-126=369.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );