document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192417>Question 1192417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> from the deck of 52 playing cards, how many ways can we choose 10 hearts and 10<BR>\n" );
document.write( "diamonds? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837714 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52864)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "from the deck of 52 playing cards, how many ways can we choose 10 hearts and 10 diamonds?<BR>\n" );
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document.write( "The solution by &nbsp;@mananth &nbsp;(note I do not call this person as a &nbsp;\" tutor \") <BR>\n" );
document.write( "is &nbsp;TOTALLY &nbsp;WRONG &nbsp;and &nbsp;FATALLY &nbsp;INCORRECT.\r<BR>\n" );
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document.write( "I came to bring you a correct solution.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "    A \"standard\" deck of playing cards consists of 52 Cards in each of the 4 suits \r\n" );
document.write( "    of Spades, Hearts, Diamonds, and Clubs.  Each suit contains 13 cards: \r\n" );
document.write( "    Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.\r\n" );
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document.write( "So, 10 hearts from 13 hearts can be chosen in  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B13%5D%5E10 ALIGN=MIDDLE  ALT=\"C%5B13%5D%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 286  different ways.\r\n" );
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document.write( "10 diamonds can be chosen from 13 diamonds  in  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B13%5D%5E10 ALIGN=MIDDLE  ALT=\"C%5B13%5D%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 286  different ways.\r\n" );
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document.write( "These selections from different kinds of cards are independent.\r\n" );
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document.write( "Therefore, the total number of different selections the problem asks about is the product\r\n" );
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document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B13%5D%5E10%2AC%5B13%5D%5E10 ALIGN=MIDDLE  ALT=\"C%5B13%5D%5E10%2AC%5B13%5D%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 286*286 = 286^2 = 81796.    <U>ANSWER</U>\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "Ignore the post by @mananth for your safety.\r<BR>\n" );
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