document.write( "Question 843930: digits:1,2,3,4,5,6,7,8,9
\n" ); document.write( "a)how many 5 digit numbers are there that exclude 0 and 7
\n" ); document.write( "b) How many of them start with an even number
\n" ); document.write( "c) how many of them start and end with and even number
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #508397 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
a)how many 5 digit numbers are there that exclude 0 and 7
The digits that exclude 0 and 7 are {1,2,3,4,5,6,8,9}\r\n" );
document.write( "\r\n" );
document.write( "Choose the first digit 8 ways.\r\n" );
document.write( "Choose the second digit 8 ways.\r\n" );
document.write( "Choose the third digit 8 ways.\r\n" );
document.write( "Choose the fourth digit 8 ways\r\n" );
document.write( "Choose the fifth digit 8 ways.\r\n" );
document.write( "\r\n" );
document.write( "8×8×8×8×8 = 85 = 32768 ways.\r\n" );
document.write( "
b) How many of them start with an even number
Choose the first digit 4 ways.\r\n" );
document.write( "Choose the second digit 8 ways.\r\n" );
document.write( "Choose the third digit 8 ways.\r\n" );
document.write( "Choose the fourth digit 8 ways\r\n" );
document.write( "Choose the fifth digit 8 ways.\r\n" );
document.write( "\r\n" );
document.write( "4×8×8×8×8 = 4×84 = 4×4096 = 16384 ways.
c) how many of them start and end with and even number
Choose the first digit 4 ways.\r\n" );
document.write( "Choose the second digit 8 ways.\r\n" );
document.write( "Choose the third digit 8 ways.\r\n" );
document.write( "Choose the fourth digit 8 ways\r\n" );
document.write( "Choose the fifth digit 4 ways.\r\n" );
document.write( "\r\n" );
document.write( "4×8×8×8×4 = 4×83×4 = 4×512×4 = 8192 ways.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );