document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149892>Question 1149892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From a collection of 51 store customers, 3 are to be chosen to receive a special gift. How many groups of 3 customers 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 #771229 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=771229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "\"51 choose 3\"<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2851%2C3%29+=+%2851%2A50%2A49%29%2F%283%2A2%2A1%29+=+20825 ALIGN=MIDDLE  ALT=\"C%2851%2C3%29+=+%2851%2A50%2A49%29%2F%283%2A2%2A1%29+=+20825\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Anyone of the 51 can be chosen first; any of the remaining 50 second; and any of the remaining 49 third.  So 51*50*49 different ORDERS in which 3 of the 51 can be chosen.<br><BR>\n" );
document.write( "But for any given group of 3, the number of different orders in which they could have been chosen is 3*2*1.<br><BR>\n" );
document.write( "So the number of different COMBINATIONS of 3 chosen from 51 is (51*50*49)/(3*2*1).<br><BR>\n" );
document.write( " </SPAN>\n" );
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