document.write( "Question 1188843: How many four-digit numbers each less than 5000 can be formed
\n" );
document.write( "with digits 1, 2, 4, 6, 8 if no repetitions are allowed? \n" );
document.write( "
Algebra.Com's Answer #820026 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "How many four-digit numbers each less than 5000 can be formed with digits 1, 2, 4, 6, 8 if no \n" ); document.write( "repetitions are allowed? \n" ); document.write( "~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The leading digit can be only 1, 2 or 4 (only three possibilities)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The digit in the 2nd position can be any of 5-1 = 4 remaining digits;\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The digit in the 3rd position can be any of 5-2 = 3 remaining digits;\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The digit in the 4th position can be any of 5-3 = 2 remaining digits.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So the answer is: 3*4*3*2 = 72 four digits numbers are possible under the imposed restriction.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |