document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=745269>Question 745269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many 5-card poker hands consisting of two 4's and three cards that are not 4's are possible in a 52-card deck? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453775 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=453775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 4 C 2 = 6 ways to pick 2 'four' cards\r<BR>\n" );
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document.write( "There are 48 C 3 = 17296 ways to pick 3 cards that aren't 'four' cards\r<BR>\n" );
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document.write( "In total, there are 6*17296 = 103776 ways to have a 5-card hand where 2 of the cards are 'four' cards while the other 3 cards aren't 'four' cards. </SPAN>\n" );
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