document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=599396>Question 599396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you can answer any 12 questions from total of 15 questions,  how many different ways can you select the questions?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378930 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=378930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> C(n,r) = (n!)/(r!(n-r)!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(15,12) = (15!)/(12!*(15-12)!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(15,12) = (15!)/(12!*3!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(15,12) = (15*14*13*12!)/(12!*3!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(15,12) = (15*14*13)/(3!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(15,12) = (15*14*13)/(3*2*1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(15,12) = (2730)/(6)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C(15,12) = 455\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So there are <font color=\"red\">455</font> ways. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );