document.write( "Question 857969: How many positive integers less than 6000 may be written down without using the digits 6,7,8,9 and 0?\r
\n" ); document.write( "\n" ); document.write( "Thank you so much
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #517022 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "We can only use the digits 1,2,3,4, and 5\r\n" );
document.write( "\r\n" );
document.write( "Number of 1-digit positive integers:\r\n" );
document.write( "\r\n" );
document.write( "Pick the digit any 5 ways\r\n" );
document.write( "\r\n" );
document.write( "That's 5 1-digit positive integers\r\n" );
document.write( "\r\n" );
document.write( "---------------------\r\n" );
document.write( "\r\n" );
document.write( "Number of 2-digit positive integers:\r\n" );
document.write( "\r\n" );
document.write( "Pick the first digit any of 5 ways.\r\n" );
document.write( "Pick the second digit any of 5 ways.\r\n" );
document.write( "\r\n" );
document.write( "That's 5×5 or 52 2-digit positive integers.\r\n" );
document.write( "\r\n" );
document.write( "---------------------\r\n" );
document.write( "\r\n" );
document.write( "Number of 3-digit positive integers:\r\n" );
document.write( "\r\n" );
document.write( "Pick the first digit any of 5 ways.\r\n" );
document.write( "Pick the second digit any of 5 ways.\r\n" );
document.write( "Pick the third digit any of 5 ways\r\n" );
document.write( "\r\n" );
document.write( "That's 5×5×5 or 53 3-digit positive integers.\r\n" );
document.write( "\r\n" );
document.write( "---------------------\r\n" );
document.write( "\r\n" );
document.write( "Number of 4-digit positive integers:\r\n" );
document.write( "\r\n" );
document.write( "Pick the first digit any of 5 ways.\r\n" );
document.write( "Pick the second digit any of 5 ways.\r\n" );
document.write( "Pick the third digit any of 5 ways.\r\n" );
document.write( "Pick the fourth digit any of 5 ways\r\n" );
document.write( "\r\n" );
document.write( "That's 5×5×5×5 or 54 4-digit positive integers.\r\n" );
document.write( "\r\n" );
document.write( "---------------------\r\n" );
document.write( "\r\n" );
document.write( "Total = 5+52+53+54 = 5+25+125+625=780\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );