document.write( "Question 293969: How many numbers less than 10000 can be made with the eight digits 1,2,3,0,4,5,6,7 \n" ); document.write( "
Algebra.Com's Answer #212128 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "All numbers with 4 or fewer digits will be less than 10000\r\n" ); document.write( "\r\n" ); document.write( "1-digit numbers:\r\n" ); document.write( "There are 8 1-digit numbers 1,2,3,0,4,5,6,7\r\n" ); document.write( "\r\n" ); document.write( "2-digit numbers\r\n" ); document.write( "Choose 1st digit 7 ways (not 0), then choose 2nd digit 7 ways\r\n" ); document.write( "7*7 or 49 2-digit numbers\r\n" ); document.write( "\r\n" ); document.write( "3-digit numbers\r\n" ); document.write( "Choose 1st digit 7 ways (not 0), then choose 2nd digit 7 ways,\r\n" ); document.write( "then 3rd digit 6 ways\r\n" ); document.write( "7*7*6 or 294 3-digit numbers\r\n" ); document.write( "\r\n" ); document.write( "4-digit numbers\r\n" ); document.write( "Choose 1st digit 7 ways (not 0), then choose 2nd digit 7 ways,\r\n" ); document.write( "then 3rd digit 6 ways, and finally 4th digit 5 ways\r\n" ); document.write( "7*7*6*5 or 1470 4-digit numbers\r\n" ); document.write( "\r\n" ); document.write( "Answer 8 + 7*7 + 7*7*6 + 7*7*6*5 = 8 + 49 + 294 + 1470 = 1821.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |