document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206744>Question 206744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many three digit numbers can be made using only the digits 1 to 9 so that at least two of the digits are the same? For example, 112 and 737 are two such numbers.\r<BR>\n" );
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document.write( "(A) 100 (B) 200 (C) 216 (D) 225 (E) None of these </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156262 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=156262\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many three digit numbers can be made using only the digits 1 to 9 so that at least two of the digits are the same? For example, 112 and 737 are two such numbers.<BR>\n" );
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document.write( "# with >= 2 the same = (total # of 3 digit numbers) - (number with no repeats)<BR>\n" );
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document.write( "# of 3 digit with no restrictions = 9^3<BR>\n" );
document.write( "# of 3 digit with no repeats = 9*8*7 = <BR>\n" );
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document.write( "So, # with >= 2 the same = 9^3-9*8*7 = 9(9^2-56)= 9(25) = 225<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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document.write( "(A) 100 (B) 200 (C) 216 (D) 225 (E) None of these </SPAN>\n" );
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