document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=52387>Question 52387</A>: <I><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "These are the Actions	       	   <BR>\n" );
document.write( "How many ways are there of selecting one of each face card from the pile?				   <BR>\n" );
document.write( "How many ways are there of selecting the queen of clubs, then the king of diamonds, and then the jack of hearts from the pile?				   <BR>\n" );
document.write( "How many ways are there of selecting three of the same face cards (i.e., 3 jacks, 3 queens, or 3 kings) from the pile?\r<BR>\n" );
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document.write( "This is what I need to know  Derivation and solution Combination or permutation Why	<BR>\n" );
document.write( "Thanks for you help			 <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35049 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=35049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> These are the Actions <BR>\n" );
document.write( "How many ways are there of selecting one of each face card from the pile?<BR>\n" );
document.write( "There are three types of face card, K, Q, J.<BR>\n" );
document.write( "There are four of each type.<BR>\n" );
document.write( "#of ways to choose a \"K\" is 4C1 = 4<BR>\n" );
document.write( "#of ways to choose a \"Q\" is 4C1 = 4<BR>\n" );
document.write( "#of ways to choose a \"J\" is 4C1 = 4<BR>\n" );
document.write( "# of ways to choose one of each is 4*4*4= 64<BR>\n" );
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document.write( "How many ways are there of selecting the queen of clubs, then the king of diamonds, and then the jack of hearts from the pile? <BR>\n" );
document.write( "One way to choose queen of clubs<BR>\n" );
document.write( "One way to choose king of diamonds<BR>\n" );
document.write( "one way to choose jack of hearts<BR>\n" );
document.write( "# of ways to do this, and this, and this is 1*1*1=1<BR>\n" );
document.write( "Note: order makes no difference.<BR>\n" );
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document.write( "How many ways are there of selecting three of the same face cards (i.e., 3 jacks, 3 queens, or 3 kings) from the pile?<BR>\n" );
document.write( "1st: select one of the three types = 3 ways<BR>\n" );
document.write( "2nd: select 3 of the 4 cards of that type = 4C3=4<BR>\n" );
document.write( "Answer to your problem: 3*4=12 ways<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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