document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094499>Question 1094499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pizza parlor has a choice of <BR>\n" );
document.write( "11<BR>\n" );
document.write( " toppings for its pizzas. From these <BR>\n" );
document.write( "11<BR>\n" );
document.write( " toppings, how many different <BR>\n" );
document.write( "8<BR>\n" );
document.write( "-topping pizzas are possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709103 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=709103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>You need to choose 8 of the 11 available toppings; the number of ways you can do that is, by definition, \"11 choose 8\", 11C8.  For the actual calculation of the number, note that 11C8 is the same number as 11C3 (since each combination of 8 of the 11 toppings you choose corresponds to choosing NOT to choose 3 of the 11 toppings).<br><BR>\n" );
document.write( "11C3 is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811%2A10%2A9%29%2F%283%2A2%2A1%29+=+165 ALIGN=MIDDLE  ALT=\"%2811%2A10%2A9%29%2F%283%2A2%2A1%29+=+165\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "There are 165 different pizzas you can make with 8 of the 11 toppings. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );