document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=352504>Question 352504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of ways to draw a six-card hand with three cards of one suit and three cards of a second suit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #251902 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=251902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, choose 2 out of 4 possible suits.<BR>\n" );
document.write( "You can do this C(4,2) ways.<BR>\n" );
document.write( "Once you have fixed the two suits, choose 3 out of 13 possible cards from one suit.  <BR>\n" );
document.write( "You can do this in C(13,3) ways.<BR>\n" );
document.write( "For the other suit, you can choose 3 out of 13 cards also in C(13,3) ways.<BR>\n" );
document.write( "Therefore the total number of ways of drawing 3 cards of one suit and 3 cards of another suit is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%284%2C2%29%2AC%2813%2C3%29%2AC%2813%2C3%29 ALIGN=MIDDLE  ALT=\"C%284%2C2%29%2AC%2813%2C3%29%2AC%2813%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=6*286*286=490,776 </SPAN>\n" );
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