document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=880359>Question 880359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many nine digit positive integers are there the sum of square of whose digits is 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #531467 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=531467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the sum of the squares of the digits of a nine-digit positive integer is 2,<BR>\n" );
document.write( "then that number has two digits that are 1, and seven digits that are 0.<BR>\n" );
document.write( "To be a nine-digit positive integer, the first digit must be other than 0,<BR>\n" );
document.write( "so the first digit must be 1.<BR>\n" );
document.write( "Then the other digit that is also 1 could be the 2nd, 3rd, 4th, .... 8th or 9th digit.<BR>\n" );
document.write( "That gives us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > choices:<BR>\n" );
document.write( "110,000,000,<BR>\n" );
document.write( "101,000,000,<BR>\n" );
document.write( "100,100,000,<BR>\n" );
document.write( "100,010,000,<BR>\n" );
document.write( "100,001,000,<BR>\n" );
document.write( "100,000,100,<BR>\n" );
document.write( "100,000,010, and<BR>\n" );
document.write( "100,000,001. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );