document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=565592>Question 565592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many counting numbers between 100 and 1000 have at least  one 2 as a digit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365929 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=365929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how many counting numbers between 100 and 1000 have at least one 2 as a digit?<BR>\n" );
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document.write( "# with at least one \"2\" = (total #'s) - (# with no \"2\")<BR>\n" );
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document.write( "total #'s = 1000-100 = 900 + 1 = 901<BR>\n" );
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document.write( "1st digit: 8 ways<BR>\n" );
document.write( "2nd digit: 9 ways<BR>\n" );
document.write( "3rd digit: 9 ways <BR>\n" );
document.write( "If \"1000\" is included, add 1 to the number without a \"2\".\r<BR>\n" );
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document.write( "# with no \"2\" = 8*9*9 = 648 +1 = 649<BR>\n" );
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document.write( "P(at least one \"2\") = 1 - [649/901] = 0.2797<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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