document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=373895>Question 373895</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For all values of n and r, where r &#8804; n, does nCr always equal nCn-r? Why or why not? \r<BR>\n" );
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document.write( "NO? I am so confused </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #266065 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=266065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> nCr = nCn-r, considering the definition: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nCr+=+n%21%2F%28r%21%28n-r%29%21%29 ALIGN=MIDDLE  ALT=\"nCr+=+n%21%2F%28r%21%28n-r%29%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nCn-r+=+n%21%2F%28%28n-r%29%21%28n-%28n-r%29%29%21%29+=+n%21%2F%28%28n-r%29%21%28n-n%2Br%29%21%29+=+n%21%2F%28%28n-r%29%21r%21%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Therefore nCr = nCn-r. </SPAN>\n" );
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