document.write( "Question 1196350: For some particular website, the password must start with one of the letters A, B, or C. Then there must be 5 more charaters, and each of those characters may be a numeric digit or a letter of the alphabet. How many different passwords are possible?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #829139 by ikleyn(52809)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "From the context, repeating is allowed.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then there are 3 possibilities for the very first position and (26+10) = 36 possibilities \r\n" );
document.write( "\r\n" );
document.write( "for each and every of five (5) remaining positions,  INDEPENDENTLY.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "According to the Fundamental Counting Principle, it means that  \"3%2A36%5E5\" = 181398528  different passwords are possible.    ANSWER\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( "
\n" );