document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598288>Question 598288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find the number of possible 5-card hands that contains 5 face cards? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378531 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=378531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The first card can be any one of 12 face cards.  The second card, given that the first was a face, can be any one of 11 remaining face cards.  And so on...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 12\ \times\ 11\ \times\ 10\ \times\ 9\  \times\ 8\">\r<BR>\n" );
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document.write( "But that includes the number of ways that the 5 cards can be arranged, so you have to divide by\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 5 \times\ 4 \times\ 3 \times\ 2\ =\ 120\">\r<BR>\n" );
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document.write( "So the whole thing reduces to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 11\ \times\ 9\  \times\ 8\">\r<BR>\n" );
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document.write( "Altogether less than 1000. Contrast this with the possible number of 5 card hands from a deck of 52:  2,598,960\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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