document.write( "Question 759808: how many 6 number combinations are there in a 49 number field resulting in the total 275 the 49 number field is 1 --49 \n" ); document.write( "
Algebra.Com's Answer #462245 by Edwin McCravy(20081)\"\" \"About 
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document.write( "If we take the sum of the 6 largest nuumbers\r\n" );
document.write( "in the field,\r\n" );
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document.write( "    44+45+46+47+48+49 = 279\r\n" );
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document.write( "That's 4 too large, so we must subtract\r\n" );
document.write( "4 from both sides of that equation to \r\n" );
document.write( "have a sum of 275.  But all 6 must be \r\n" );
document.write( "different.\r\n" );
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document.write( "So we can do any of these: \r\n" );
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document.write( "1.  subtract 1 each from the smallest 4\r\n" );
document.write( "    numbers:\r\n" );
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document.write( "    44+45+46+47+48+49 = 279\r\n" );
document.write( "    -1 -1 -1 -1          -4\r\n" );
document.write( "    -----------------------\r\n" );
document.write( "    43+44+45+46+48+49 = 275 \r\n" );
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document.write( "2.  subtract 2 each from the smallest two \r\n" );
document.write( "    numbers: \r\n" );
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document.write( "    44+45+46+47+48+49 = 279\r\n" );
document.write( "    -2 -2                -4\r\n" );
document.write( "    -----------------------\r\n" );
document.write( "    42+43+46+47+48+49 = 275\r\n" );
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document.write( "3.  subtract 2 from the smallest number, \r\n" );
document.write( "    and 1 each from the next smallest two: \r\n" );
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document.write( "    44+45+46+47+48+49 = 279\r\n" );
document.write( "    -2 -1 -1             -4\r\n" );
document.write( "    -----------------------\r\n" );
document.write( "    42+44+45+47+48+49 = 275\r\n" );
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document.write( "4.  subtract 3 from the smallest number, \r\n" );
document.write( "    and 1 from the next smallest number: \r\n" );
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document.write( "    44+45+46+47+48+49 = 279\r\n" );
document.write( "    -3 -1                -4\r\n" );
document.write( "    -----------------------\r\n" );
document.write( "    41+44+46+47+48+49 = 275\r\n" );
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document.write( "5.  subtract 4 from the smallest number: \r\n" );
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document.write( "    44+45+46+47+48+49 = 279\r\n" );
document.write( "    -4                   -4\r\n" );
document.write( "    -----------------------\r\n" );
document.write( "    40+45+46+47+48+49 = 275\r\n" );
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document.write( "That's 5 combinations.\r\n" );
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document.write( "Edwin
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