document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161126>Question 1161126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You take the four Aces, four $2$'s, and four $3$'s from a standard deck of 52 cards, forming a set of $12$ cards. You then deal all $12$ cards at random to four players, so that each player gets three cards. What is the probability that each player gets an Ace, a $2$, and a $3$?<BR>\n" );
document.write( "The answer is not  27/123200  which is what I got. how I got that was from \r<BR>\n" );
document.write( "\n" );
document.write( "The total number of ways to split 12 cards in this way (12 = 3 + 3 + 3 + 3) is\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "    T = C%5B12%5D%5E4.C%5B12-3%5D%5E4.C%5B12-3-3%5D%5E4.C%5B12-3-3-3%5D%5E3 = C%5B12%5D%5E3.C%5B9%5D%5E3.C%5B6%5D%5E3.C%5B3%5D%5E3 = %2812%2A11%2A10%2A9%2A8%2A7%2A6%2A5%2A4%29%2F6%5E3 = 369600.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The number of favorable splittings is  F = 3*3*3*3 =  81.\r<BR>\n" );
document.write( "\n" );
document.write( "    (You may think about the number of 4-symbol words written using a 3-letter  alphabet).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, the probability under the problem's question is\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "    P = favorable%2Ftotal = F%2FT = 81%2F369600 = 0.000219. I simplified fraction. I need fraction form. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784590 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13216)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=784590\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "It's best to use only standard keyboard characters when posting your questions.  Other characters may make your post difficult or impossible to read.<br><BR>\n" );
document.write( "Another tutor answered this question -- possible from you, or possibly from another student -- and got the same answer you got.<br><BR>\n" );
document.write( "You say the answer you and she got is not right....  Do you know what the answer is supposed to be?<br><BR>\n" );
document.write( "For me, at least, it is aggravatingly easy to come up with a method to solve a combinatorics/probability problem that seems valid but is not.  If you have the right answer and post it with your problem, it might help some tutor to guide you to that answer.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );