document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4002>Question 4002</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many ways can you order a hamburger if you can order it with or without the following items: cheese, lettuce, tomatoes, pickles or onions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1764 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. you can have 1 item only --> 5 possibilities\r<BR>\n" );
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document.write( "--> mathematically, this is worked out by 5!/1!4!\r<BR>\n" );
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document.write( "2. you can have 2 items --> cheese with one of the other 4 items. lettuce with one of the other 3 items (not cheese, as that has been done), tomatoes with one of the other 2 items and then pickles with just onions. This totals 10 combinations\r<BR>\n" );
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document.write( "--> this is 5!/3!2!\r<BR>\n" );
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document.write( "3. you can have 3 items:<BR>\n" );
document.write( "ABC ACD ADE<BR>\n" );
document.write( "ABD ACE <BR>\n" );
document.write( "ABE\r<BR>\n" );
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document.write( "BCD BDE<BR>\n" );
document.write( "BCE\r<BR>\n" );
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document.write( "CDE\r<BR>\n" );
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document.write( "--> Again totalling 10 --> 5!/3!2!\r<BR>\n" );
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document.write( "4. you can have 4 items:\r<BR>\n" );
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document.write( "ABCD ACDE BCDE<BR>\n" );
document.write( "ABCE ABDE\r<BR>\n" );
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document.write( "Totalling 5 combinations --> 5!/4!1!\r<BR>\n" );
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document.write( "5. you can have 5 items --> total of 1 occurrence.\r<BR>\n" );
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document.write( "So, total different ways is: 5 + 10 + 10 + 5 + 1 = 31\r<BR>\n" );
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document.write( "jon </SPAN>\n" );
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