document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193952>Question 1193952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an optical shop sells 10 types of plastic frames, 12 types of rimless frames and 9 types of metal frames. each pair of glasses can be matched with normal lens, non reflective lens, or anti scratching, non reflective lens. Molly is going to buy a pair of glasses from the shop how many choices does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826019 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=826019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe it will be 10 * 12 * 9 * 4 = 4320 possible choices.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to understand why, use a much simpler example.<BR>\n" );
document.write( "let p = number of different types of plastic frames.<BR>\n" );
document.write( "let r = number of different types of rimless frames.<BR>\n" );
document.write( "let m = number of different types of metal frames.<BR>\n" );
document.write( "let l = number of different types of lenses.<BR>\n" );
document.write( "let p = 2 and r = 3 and m = 1 and l = 2<BR>\n" );
document.write( "the number of choices would be 2 * 3 * 1 * 2 = 12.<BR>\n" );
document.write( "the different types of plastic frames would be p1 and p2.<BR>\n" );
document.write( "the different types of rimless frames would be r1 and r1 and r3<BR>\n" );
document.write( "the different types of metal frames would be m1<BR>\n" );
document.write( "the different types of lenses would be l1 and l2<BR>\n" );
document.write( "the choices would be:<BR>\n" );
document.write( "p1 m1 r1 l1<BR>\n" );
document.write( "p1 m1 r1 l2<BR>\n" );
document.write( "p1 m1 r2 l1<BR>\n" );
document.write( "p1 m1 r2 l2<BR>\n" );
document.write( "p1 m1 r3 l1<BR>\n" );
document.write( "p1 m1 r3 l2<BR>\n" );
document.write( "p2 m1 r1 l1<BR>\n" );
document.write( "p2 m1 r1 l2<BR>\n" );
document.write( "p2 m1 r2 l1<BR>\n" );
document.write( "p2 m1 r2 l2<BR>\n" );
document.write( "p2 m1 r3 l1<BR>\n" );
document.write( "p2 m1 r3 l2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's 12 possible choices.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the concept is valid, so it is applies to the larger numbers to get:<BR>\n" );
document.write( "10 * 12 * 9 * 4 = 4320 possible choices.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );