document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117621>Question 1117621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hand of 5 cards is dealt from a standard deck\r<BR>\n" );
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document.write( "How many hands with 2 king and 3 clubs are possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #733266 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=733266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Order is not important, so this is a problem <BR>\n" );
document.write( "using combinations, not permutations<BR>\n" );
document.write( "Number of hands = C( 3,2 ) * C( 12,3 )<BR>\n" );
document.write( "C( 3,2 ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%21+%2F+%28%28+3+-+2++%29%21+%2A+2%21+%29+ ALIGN=MIDDLE  ALT=\"+3%21+%2F+%28%28+3+-+2++%29%21+%2A+2%21+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C( 3,2 ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+%2F+2+ ALIGN=MIDDLE  ALT=\"+6+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C( 3,2 ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+ ALIGN=MIDDLE  ALT=\"+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "C( 12,3 ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%21+%2F+%28%28+12+-+3+%29%21+%2A+3%21+%29+ ALIGN=MIDDLE  ALT=\"+12%21+%2F+%28%28+12+-+3+%29%21+%2A+3%21+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C( 12,3 ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+12%2A11%2A10%2A9%2A8%2A7%2A6%2A5%2A4%2A3%2A2%2A1+%29+%2F+%28+9%2A8%2A7%2A6%2A5%2A4%2A3%2A2%2A1%2A3%2A2%2A1+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C( 12,3 ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+12%2A11%2A10+%29+%2F+%28+3%2A2%2A1+%29+ ALIGN=MIDDLE  ALT=\"+%28+12%2A11%2A10+%29+%2F+%28+3%2A2%2A1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C( 12,3 ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1320+%2F+6+ ALIGN=MIDDLE  ALT=\"+1320+%2F+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C( 12,3 ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+220+ ALIGN=MIDDLE  ALT=\"+220+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "C( 4,2 )*C( 13,3 ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A220+ ALIGN=MIDDLE  ALT=\"+3%2A220+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A22+=+660+ ALIGN=MIDDLE  ALT=\"+3%2A22+=+660+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 660 possible hands<BR>\n" );
document.write( "Note that one of the kings counted is a club, so that<BR>\n" );
document.write( "won't work, and one of the clubs being counted is a king<BR>\n" );
document.write( "and that won't work either, so I need to account for them<BR>\n" );
document.write( "Feel free to get another opinion on this<BR>\n" );
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