document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230050>Question 230050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A club consists of 10 members. In how many different<BR>\n" );
document.write( "ways can a group of 3 people be selected to go on a European<BR>\n" );
document.write( "trip?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170427 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=170427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Because you are \"choosing\" people to go on a trip and not to specific positions, this is a COMBINATION.  The answer for choosing 3 people out of 10 is C(10,3).  This can be calculated with an ordinary calculator (as simple as a TI30!), or by ordinary calculation.  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The simple way to do this is to make a fraction whose numerator and denominator each have a product of 3 numbers.  In the numerator start with 10 and count down 3 numbers.  In the denominator start with 3 and count down to 1:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2810%2C3%29+=+%2810%2A9%2A8%29%2F%283%2A2%2A1%29+ ALIGN=MIDDLE  ALT=\"C%2810%2C3%29+=+%2810%2A9%2A8%29%2F%283%2A2%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2810%2C3%29=720%2F6=120 ALIGN=MIDDLE  ALT=\"C%2810%2C3%29=720%2F6=120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Dr. Robert J. Rapalje </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );