document.write( "Question 1155262: Using the digits from the set 012345 and six find the amount of odd three digit numbers that can be created \n" ); document.write( "
Algebra.Com's Answer #777834 by Edwin McCravy(20055)\"\" \"About 
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document.write( "To be odd, the last digit must be odd, that is, it must be 1,3, or 5.\r\n" );
document.write( "To have three digits the first digit cannot be 0.\r\n" );
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document.write( "We choose the most restrictive digit first, which is the last one.\r\n" );
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document.write( "We can choose the last digit any of 3 ways.\r\n" );
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document.write( "Now we choose the next most restrictive digit, which is the first one.\r\n" );
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document.write( "That leaves 4 possible choices for the first digit, 2,4 and the two\r\n" );
document.write( "odd digits besides the one chosen for the last digit.\r\n" );
document.write( "So there are 3∙4=12 ways to choose the last and first digits.\r\n" );
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document.write( "The middle digit is the least restrictive one, so we choose it last.\r\n" );
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document.write( "So we finally choose the middle digit as any of the 4 digits besides the two\r\n" );
document.write( "digits chosen for the first and last digits.\r\n" );
document.write( "answer = 3∙4∙4 = 48 odd three-digit numbers. \r\n" );
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document.write( "Here are all 48:\r\n" );
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document.write( " 1.  103\r\n" );
document.write( " 2.  105\r\n" );
document.write( " 3.  123\r\n" );
document.write( " 4.  125\r\n" );
document.write( " 5.  135\r\n" );
document.write( " 6.  143\r\n" );
document.write( " 7.  145\r\n" );
document.write( " 8.  153\r\n" );
document.write( " 9.  201\r\n" );
document.write( "10.  203\r\n" );
document.write( "11.  205\r\n" );
document.write( "12.  213\r\n" );
document.write( "13.  215\r\n" );
document.write( "14.  231\r\n" );
document.write( "15.  235\r\n" );
document.write( "16.  241\r\n" );
document.write( "17.  243\r\n" );
document.write( "18.  245\r\n" );
document.write( "19.  251\r\n" );
document.write( "20.  253\r\n" );
document.write( "21.  301\r\n" );
document.write( "22.  305\r\n" );
document.write( "23.  315\r\n" );
document.write( "24.  321\r\n" );
document.write( "25.  325\r\n" );
document.write( "26.  341\r\n" );
document.write( "27.  345\r\n" );
document.write( "28.  351\r\n" );
document.write( "29.  401\r\n" );
document.write( "30.  403\r\n" );
document.write( "31.  405\r\n" );
document.write( "32.  413\r\n" );
document.write( "33.  415\r\n" );
document.write( "34.  421\r\n" );
document.write( "35.  423\r\n" );
document.write( "36.  425\r\n" );
document.write( "37.  431\r\n" );
document.write( "38.  435\r\n" );
document.write( "39.  451\r\n" );
document.write( "40.  453\r\n" );
document.write( "41.  501\r\n" );
document.write( "42.  503\r\n" );
document.write( "43.  513\r\n" );
document.write( "44.  521\r\n" );
document.write( "45.  523\r\n" );
document.write( "46.  531\r\n" );
document.write( "47.  541\r\n" );
document.write( "48.  543\r\n" );
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document.write( "Edwin
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