document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=852576>Question 852576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I couldn't figure out how to solve this problem. I tried 7! divided by 6! and the answer is 7, 6! cancels out the first 6 numbers of 7!. But the correct answer is 9. Please help.<BR>\n" );
document.write( "Thanks a lot,<BR>\n" );
document.write( "shayne\r<BR>\n" );
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document.write( "Mr. Lee bought 6 new pants and 7 new <BR>\n" );
document.write( "shirts. Now he needs to buy new ties. <BR>\n" );
document.write( "Mr. Lee wants to be able to wear a <BR>\n" );
document.write( "different combination of one pant, one <BR>\n" );
document.write( "shirt, and one tie every day for one <BR>\n" );
document.write( "year. What is the minimum number of <BR>\n" );
document.write( "ties he should buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513505 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=513505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Why are you using 7!, 6! and dividing them? Ask yourself that first. The correct solution involves no factorials.\r<BR>\n" );
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document.write( "If Mr. Lee buys t ties, the number of pants-shirt-tie combinations is 6*7*t = 42t. We want 42t >= 365, and the smallest integer t such that the inequality is true is t = 9. </SPAN>\n" );
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