document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288999>Question 288999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many ways can the value 13 be expressed as the sum of exactly 3 different positive integers? For example, 13 = 1 + 4 + 8 is one such way. Note that 13 = 4 + 8 + 1 does not count as a “different” way since the same integers are involved in the sum.\r<BR>\n" );
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document.write( "(A) 5 (B) 6 (C) 7 (D) 8 (E) 14<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209511 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=209511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here are all of the possibilities: \r<BR>\n" );
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document.write( "13 = 1 + 2 + 10<BR>\n" );
document.write( "13 = 1 + 3 + 9<BR>\n" );
document.write( "13 = 1 + 4 + 8<BR>\n" );
document.write( "13 = 1 + 5 + 7<BR>\n" );
document.write( "13 = 2 + 3 + 8<BR>\n" );
document.write( "13 = 2 + 4 + 7<BR>\n" );
document.write( "13 = 2 + 5 + 6<BR>\n" );
document.write( "13 = 3 + 4 + 6\r<BR>\n" );
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document.write( "So there are 8 different ways to express 13 as a sum of 3 distinct positive integers. </SPAN>\n" );
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