document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171193>Question 171193</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321331793/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A club consists of 10 members. In how many different ways can a group of 3 people be selected to go on a European trip?\r<BR>\n" );
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document.write( "I came up with the answer of 9\r<BR>\n" );
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document.write( "Is that correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139147 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A club consists of 10 members. In how many different ways can a group of 3 people be selected to go on a European trip? <BR>\n" );
document.write( "I came up with the answer of 9 <BR>\n" );
document.write( "Is that correct?<BR>\n" );
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document.write( "How did you get 9?<BR>\n" );
document.write( "To pick the 1st person, there are 10 to choose from.<BR>\n" );
document.write( "For the 2nd, there are 9, and 8 for the 3rd.<BR>\n" );
document.write( "That's 10*9*8 = 720 possibilities.<BR>\n" );
document.write( "But, since a person could be chosen 1, 2 or 3rd to form the same group, that is,<BR>\n" );
document.write( "ABC is the same as BCA and BAC, you have to divide by 3*2*1 = 6.<BR>\n" );
document.write( "So the # of different groups is 720/6 = 120.<BR>\n" );
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