document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959748>Question 959748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A menu at a restaurant offers 9 different appetizers. How many different ways can a group choose 4 appetizers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586573 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=586573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4 Slots: A,B,C,D\r<BR>\n" );
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document.write( "Each slot represents an appetizer selected\r<BR>\n" );
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document.write( "Number of choices for slot A = 9\r<BR>\n" );
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document.write( "Number of choices for slot B = 8 ... this is assuming you cannot have repeat appetizers\r<BR>\n" );
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document.write( "Number of choices for slot C = 7\r<BR>\n" );
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document.write( "Number of choices for slot D = 6\r<BR>\n" );
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document.write( "Multiply them out: 9*8*7*6 = 3,024\r<BR>\n" );
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document.write( "If order mattered, then you'd have 3,024 different permutations\r<BR>\n" );
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document.write( "Order does matter though. So divide by 4! = 4*3*2*1 = 24 to get 3,024/24 = 126\r<BR>\n" );
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document.write( "There are 126 different combinations (where order does not matter)\r<BR>\n" );
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document.write( "Question: A menu at a restaurant offers 9 different appetizers. How many different ways can a group choose 4 appetizers?\r<BR>\n" );
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document.write( "Answer: <font size=5 color=\"red\">126</font>\r<BR>\n" );
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document.write( "Jim\r<BR>\n" );
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