document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=542356>Question 542356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in how many ways can you answer the questions on an exam that consist of 10 multiple choice, each with 4 answer choices, followed by 8 true/false questions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354545 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=354545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">You can use the \"multiplication principle of counting\" on this one:<br>\r<BR>\n" );
document.write( "\n" );
document.write( "For each question, there is some \"possible\" number of answers.<br>\r<BR>\n" );
document.write( "\n" );
document.write( "On the multiple choice questions, there are 4 possible answers.<br>\r<BR>\n" );
document.write( "\n" );
document.write( "On the true/false questions, there are 2 possible answers.<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Now we can just multiply out all the possibilities for the 18 questions:<br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A4%2A4%2A4%2A4%2A4%2A4%2A4%2A4%2A4%2A2%2A2%2A2%2A2%2A2%2A2%2A2%2A2 ALIGN=MIDDLE  ALT=\"4%2A4%2A4%2A4%2A4%2A4%2A4%2A4%2A4%2A4%2A2%2A2%2A2%2A2%2A2%2A2%2A2%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
document.write( "\n" );
document.write( "This can be simplified as:<br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%5E10%29%2A%282%5E8%29 ALIGN=MIDDLE  ALT=\"%284%5E10%29%2A%282%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1048576%2A256 ALIGN=MIDDLE  ALT=\"1048576%2A256\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=268435456 ALIGN=MIDDLE  ALT=\"268435456\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
document.write( "\n" );
document.write( "There are 268,435,456 different ways in which one could answer these test questions!<br>\r<BR>\n" );
document.write( "\n" );
document.write( "We could write out all the different possibilities, but it would take us years to do so.  Scary, huh?<br>\r<BR>\n" );
document.write( "\n" );
document.write( "I hope this helps!<br> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );