document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763079>Question 763079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hello. can you list all possible number combinations of 5 separate numbers drawn from a field of numbers from 1-37, with 23 in it? no repeats. Thank you in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464529 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=464529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In the set of 5 numbers, one is already fixed i.e. 23.\r<BR>\n" );
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document.write( "So we need to find out how many possible combinations are there for the remaining 4 numbers in the set.\r<BR>\n" );
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document.write( "In other words, how many ways can 4 numbers be chosen from a set of 36? (Note that it is only 36 and not 37 - because the number 23 is already chosen).\r<BR>\n" );
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document.write( "The answer is 36 choose 4 or C(36,4) = 36*35*34*33/1*2*3*4 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2858905%29 ALIGN=MIDDLE  ALT=\"highlight%2858905%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways.\r<BR>\n" );
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document.write( ":) </SPAN>\n" );
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