document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408132>Question 408132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. A quiz consists of six multiple choice questions, each with five choices. In how many ways can a student mark the answers to all the questions, markng all of them incorrectly?\r<BR>\n" );
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document.write( "2. Calculate the number of ways in which four paintings can be awarded first, second, third, and fourth prizes at an art competition in which a total of 30 paintings are displayed.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287585 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. There are four ways to mark each answer incorrectly, and there are six questions. The number of ways to do so is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E6 ALIGN=MIDDLE  ALT=\"4%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > (they multiply, not add).\r<BR>\n" );
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document.write( "2. The order matters here, so the number of ways is 30P4 = 30*29*28*27 = 657,720. </SPAN>\n" );
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