document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=596765>Question 596765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a)how many student must be in class to guarantee that at least three were born in the same month\r<BR>\n" );
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document.write( "b) given any set of four integers, must there be two that have the same remainder when divided by 3 ? why? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #377859 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=377859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The way to go about this question is to figure out the most students you could have and still be possible that only 2 are born in any given month.  Quite obviously this is 24 students, with two born in each of the 12 months.  Now add 1 to make 25 and it is impossible for there not to be at least one month with three students born in that month.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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