document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=356644>Question 356644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of at least one cat? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #254566 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=254566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> in how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of at least one cat?<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "# of committees with no cats: 10C7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "# of committees with no restrictions: 25C7<BR>\n" );
document.write( "----<BR>\n" );
document.write( "# of committees with at least one cat:<BR>\n" );
document.write( "25C7 - 10C7 = 480,580<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );