document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158365>Question 1158365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove that (n 0) + (n 1) + (n 2) + ... + (n k) = 2^n is true using mathematical induction.\r<BR>\n" );
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document.write( "note that (n k) is a falling factorial, and that n is a positive integer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781374 by </B><A HREF=/tutors/aboutme.mpl?userid=Shin123><B>Shin123(626)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shin123><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=Shin123><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781374\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Duplicate. I solved it <a  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1158359.html>here</a>. </SPAN>\n" );
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