document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=423717>Question 423717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider a list of randomly generated 4-letter \"words\" printed on a paper. The letters cannot be repeated.\r<BR>\n" );
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document.write( "A) At least how many of these \"words\" should be printed to be sure of having at least 9 identical \"words\" on the list?\r<BR>\n" );
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document.write( "B)At least how many identical \"words\" are printed if there are 3588001 \"words\" on the list? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295457 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=295457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> no. of possible 4 letters words  = 26*25*24*23 = 358800\r<BR>\n" );
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document.write( "A) minimum number of words to be sure of having at least 9 identical words\r<BR>\n" );
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document.write( "= 358800 * 8 + 1\r<BR>\n" );
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document.write( "= 2870401\r<BR>\n" );
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document.write( "B) 3588001  = 10 * 358800 + 1   \r<BR>\n" );
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document.write( "(after divide by 358800 we find 10 as quotient and 1 as remainder)\r<BR>\n" );
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document.write( "so, at least 11 identical words are printed.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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