document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629895>Question 629895</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maria has seven cards with the digits 1 to 7 written on them, as shown.<BR>\n" );
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document.write( "She knows that a number is divisible by nine if the sum of its digits is divisible by nine.\r<BR>\n" );
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document.write( "How many three-digit numbers that are divisible by nine can Maria make using any three of her cards? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396582 by </B><A HREF=/tutors/aboutme.mpl?userid=Charles3475><B>Charles3475(23)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Charles3475><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=Charles3475><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=396582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the smallest sum divisible by 9 would be 9. How many ways can we use three cards to get 9?\r<BR>\n" );
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document.write( "1 + 6 + 2 = 9 (so 162)\r<BR>\n" );
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document.write( "1 + 5 + 3 = 9 (so 153)\r<BR>\n" );
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document.write( "1 + 3 + 5 = 9 (so 135)\r<BR>\n" );
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document.write( "1 + 2 + 6 = 9 (so 126)\r<BR>\n" );
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document.write( "2 + 6 + 1 = 9 (so 261)\r<BR>\n" );
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document.write( "2 + 4 + 3 = 9 (so 243)\r<BR>\n" );
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document.write( "2 + 3 + 4 = 9 (so 234)\r<BR>\n" );
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document.write( "2 + 1 + 6 = 9 (so 216)\r<BR>\n" );
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document.write( "3 + 5 + 1 = 9 (so 351)\r<BR>\n" );
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document.write( "3 + 4 + 2 = 9 (so 342)\r<BR>\n" );
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document.write( "3 + 2 + 4 = 9 (so 324)\r<BR>\n" );
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document.write( "3 + 1 + 5 = 9 (so 315)\r<BR>\n" );
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document.write( "4 + 3 + 2 = 9 (so 432)\r<BR>\n" );
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document.write( "4 + 2 + 3 = 9 (so 423)\r<BR>\n" );
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document.write( "5 + 3 + 1 = 9 (so 531)\r<BR>\n" );
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document.write( "5 + 1 + 3 = 9 (so 513)\r<BR>\n" );
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document.write( "6 + 2 + 1 = 9 (so 621)\r<BR>\n" );
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document.write( "6 + 1 + 2 = 9 (so 612)\r<BR>\n" );
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document.write( "The next sum divisible by 9 would be 18. How many ways can we use three cards to get to 18?\r<BR>\n" );
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document.write( "7 + 6 + 5 = 18 (so 765)\r<BR>\n" );
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document.write( "7 + 5 + 6 = 18 (so 756)\r<BR>\n" );
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document.write( "6 + 7 + 5 = 18 (so 675)\r<BR>\n" );
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document.write( "6 + 5 + 7 = 18 (so 657)\r<BR>\n" );
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document.write( "5 + 7 + 6 = 18 (so 576)\r<BR>\n" );
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document.write( "5 + 6 + 7 = 18 (so 567) \r<BR>\n" );
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document.write( "So I get a total of 24 ways </SPAN>\n" );
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