document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=342255>Question 342255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a forest contains 843,000 trees of a certain species. statistical studies show that the number of leaves on these trees varies from a low of 943 to a high of 3722. at least how many trees must have the same number of leaves? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #245039 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=245039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3722 - 943 = 2779, so there are at most 2780 different numbers of leaves.\r<BR>\n" );
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document.write( "The most evenly distributed they could be would be<BR>\n" );
document.write( "843,000 / 2780 = 303.237\r<BR>\n" );
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document.write( "So if you start dividing trees up by their numbers of leaves, <BR>\n" );
document.write( "you could have 2780 sets, each with 303 members.\r<BR>\n" );
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document.write( "There would be 660 trees remaining, and since that is less than 2780,<BR>\n" );
document.write( "each of those could belong to a different set.\r<BR>\n" );
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document.write( "In any case, it is guaranteed that at least 304 trees have the same number of leaves,<BR>\n" );
document.write( "and either there will be a higher number, or there will be multiple sets with the same number.<BR>\n" );
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