document.write( "Question 887986: how many even four digit numbers can be formed from the digits 0,1,2,5,6 and 9 . If units position can not be zero? \n" ); document.write( "
Algebra.Com's Answer #536991 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Choose the most restrictive digit first.\r\n" ); document.write( "\r\n" ); document.write( "Since the number must be even, and can't end with 0,\r\n" ); document.write( "it must end with either 2 or 6.\r\n" ); document.write( "\r\n" ); document.write( "So we can choose the last digit 2 ways.\r\n" ); document.write( "\r\n" ); document.write( "Choose the next most restrictive digit next.\r\n" ); document.write( "The first digit cannot be 0 or the digit we chose for \r\n" ); document.write( "the last digit. \r\n" ); document.write( "\r\n" ); document.write( "So we can choose the first digit any of 4 ways.\r\n" ); document.write( "\r\n" ); document.write( "We can choose the second digit any of the 4 digits we\r\n" ); document.write( "haven't already chosen for the last and first digits.\r\n" ); document.write( "\r\n" ); document.write( "So we can choose the 2nd digit 4 ways.\r\n" ); document.write( "\r\n" ); document.write( "We can choose the third digit any of the 3 digits we\r\n" ); document.write( "haven't already chosen for the last, first, and \r\n" ); document.write( "second digits.\r\n" ); document.write( "\r\n" ); document.write( "So we can choose the 3rd digit 3 ways.\r\n" ); document.write( "\r\n" ); document.write( "That's 2*4*4*3 or 96 ways.\r\n" ); document.write( "\r\n" ); document.write( "Here they all are, 8 rows of 12 each, computer generated:\r\n" ); document.write( "\r\n" ); document.write( "1026, 1052, 1056, 1062, 1092, 1096, 1206, 1256, 1296, 1502, 1506, 1526,\r\n" ); document.write( "1562, 1592, 1596, 1602, 1652, 1692, 1902, 1906, 1926, 1952, 1956, 1962,\r\n" ); document.write( "2016, 2056, 2096, 2106, 2156, 2196, 2506, 2516, 2596, 2906, 2916, 2956,\r\n" ); document.write( "5012, 5016, 5026, 5062, 5092, 5096, 5102, 5106, 5126, 5162, 5192, 5196,\r\n" ); document.write( "5206, 5216, 5296, 5602, 5612, 5692, 5902, 5906, 5912, 5916, 5926, 5962,\r\n" ); document.write( "6012, 6052, 6092, 6102, 6152, 6192, 6502, 6512, 6592, 6902, 6912, 6952,\r\n" ); document.write( "9012, 9016, 9026, 9052, 9056, 9062, 9102, 9106, 9126, 9152, 9156, 9162,\r\n" ); document.write( "9206, 9216, 9256, 9502, 9506, 9512, 9516, 9526, 9562, 9602, 9612, 9652.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |