document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142570>Question 142570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many 13-card hands having exactly 11 diamonds can be dealt? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103778 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=103778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # of ways to pick 11 diamonds: 13C11 = 13*12/1*2 = 78<BR>\n" );
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document.write( "# of ways to pick 2 other cards: 39C2 = 39*38/1*2 = 19*39 = 741<BR>\n" );
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document.write( "# of ways to have a 13-card hand with exactly 11 diamonds: 78*741 = 57,798<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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