document.write( "Question 957769: there are 5 digits: 1,3,4,7,9. How many positive integers less than 600 can be formed using these 5 digits:
\n" );
document.write( "(a) if digits can be repeated.
\n" );
document.write( "(b) if digits cannot be repeated. \n" );
document.write( "
Algebra.Com's Answer #585813 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! There are 5 digits: 1,3,4,7,9. How many positive integers less than 600 can be formed using these 5 digits: \n" ); document.write( "(a) if digits can be repeated. \n" ); document.write( " \r\n" ); document.write( "There are 5 1-digit numbers.\r\n" ); document.write( "There are 5*5 or 25 2-digit numbers.\r\n" ); document.write( "There are 3*5*5 or 75 3-digit numbers. (we can only choose the\r\n" ); document.write( "first digit as 1,3, or 4 (three ways) for the number to be less that 600. \r\n" ); document.write( "\r\n" ); document.write( "That's 5+25+75 = 105 ways.\r\n" ); document.write( " \n" ); document.write( "(b) if digits cannot be repeated. \n" ); document.write( " \r\n" ); document.write( "There are 5 1-digit numbers.\r\n" ); document.write( "There are 5*4 or 20 2-digit numbers.\r\n" ); document.write( "There are 3*4*3 or 36 3-digit numbers. (we can only choose the\r\n" ); document.write( "first digit as 1,3, or 4 (three ways) for the number to be less that 600. \r\n" ); document.write( "\r\n" ); document.write( "That's 5+20+36=61 ways.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |