document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364934>Question 364934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (1 pt) Consider a list of randomly generated 3-letter \"words\" printed on a paper. The letters cannot be repeated.\r<BR>\n" );
document.write( "\n" );
document.write( "(a) At least how many of these \"words\" should be printed to be sure of having at least 8 identical \"words\" on the list?\r<BR>\n" );
document.write( "\n" );
document.write( "Answer =\r<BR>\n" );
document.write( "\n" );
document.write( "(b) At least how many identical \"words\" are printed if there are 140401 \"words\" on the list?\r<BR>\n" );
document.write( "\n" );
document.write( "Answer =  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #260252 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=260252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> no. of possible 3-letter worlds = 26*25*24 =15600\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(a) no. of minimum words to sure having 8 identical words = 15600*7 +1 =109201\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(b) divide 140401 by 15600\r<BR>\n" );
document.write( "\n" );
document.write( "we get 140401 = 15600 * 9  + 1 \r<BR>\n" );
document.write( "\n" );
document.write( "so, at least 10 identical words.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It is possible that some typing mistake in solution of a problem, if any please ignore it. Understand the concept and try to solve the problem yourself. If there is problem related to concept, contact at <BR>\n" );
document.write( "sudhanshu.cochin@yahoo.com or sudhanshu.cochin@gmail.com <BR>\n" );
document.write( "Best of luck....... \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );