document.write( "Question 1153221: How many three-digit numbers , in which no two digits are the same, can be made using the digits 0 1 3 5 8 if the numbers must be even and greater than 300 \n" ); document.write( "
Algebra.Com's Answer #775411 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "(1) The first digit has to be either 3, 5, or 8 (the 3-digit number has to be greater than 300): \r\n" ); document.write( "3AB\r\n" ); document.write( "5AB\r\n" ); document.write( "8AB \n" ); document.write( "(2) The last digit has to be 0 or 8 (the 3-digit number must be even); and no digit can be used twice: \r\n" ); document.write( "3A0 3A8\r\n" ); document.write( "5A0 5A8\r\n" ); document.write( "8A0 \n" ); document.write( "For each of those combinations of first and last digits, the middle digit can be any of the three remaining digits: \r\n" ); document.write( "310 350 380 308 318 358\r\n" ); document.write( "510 530 580 508 518 538\r\n" ); document.write( "810 830 850 \n" ); document.write( "ANSWER: 15 different 3-digit even numbers greater than 300 with no digits repeated \n" ); document.write( " \n" ); document.write( " |