document.write( "Question 1183662: Suppose there are 40 students in a class. Is there a month in the year in which at least 4 students were born? \n" ); document.write( "
Algebra.Com's Answer #814080 by ikleyn(52906)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "As it is worded,  printed,  posted and presented,  this formulation is  INCORRECT  and is good for re-cycling,  ONLY.\r
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\n" ); document.write( "\n" ); document.write( "The correct formulation is as follows:\r
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\n" ); document.write( "\n" ); document.write( "            Suppose there are  40  students in a class.  Prove that
\n" ); document.write( "             there is a month in the year in which at least  4  students were born.\r
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\n" ); document.write( "\n" ); document.write( "The solution is in couple of lines.\r
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document.write( "    If we assume, in opposite, that the number of birthdays is no more than 3 in each of 12 months of the year,\r\n" );
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document.write( "    then the total number of students in the class is no more than 3*12 = 36.\r\n" );
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document.write( "    It contradicts to the given part that the number of students in the class is 40.\r\n" );
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document.write( "    The contradiction proves the statement.\r\n" );
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