document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=298588>Question 298588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If there are six contestants in a contest, in how many ways can 1st, 2nd and 3rd prize be won?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #214765 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=214765\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If there are six contestants in a contest, in how many ways can 1st, 2nd and 3rd prize be won? <BR>\n" );
document.write( "# of ways to win 1st prize: 6<BR>\n" );
document.write( "# of ways to win 2nd prize: 5<BR>\n" );
document.write( "# of ways to win 3rd prize: 4<BR>\n" );
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document.write( "Total number of ways: 6*5*4 = 120<BR>\n" );
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document.write( "Another way to do it.<BR>\n" );
document.write( "# of ways to pick 3 people from 6: 6C3 = 20<BR>\n" );
document.write( "# of ways to give the prizes to the 3 people selected: 3! = 6<BR>\n" );
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document.write( "Total number of ways: 20*6 = 120<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );