SOLUTION: "To keep PC files secure, many programs require the user to enter a password. The shortest passwords must be at least 6 characters long and can contain both letters and digits."

Algebra ->  Algebra  -> Permutations -> SOLUTION: "To keep PC files secure, many programs require the user to enter a password. The shortest passwords must be at least 6 characters long and can contain both letters and digits."       Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 142536: "To keep PC files secure, many programs require the user to enter a password. The shortest passwords must be at least 6 characters long and can contain both letters and digits." How many 6-character passwords are possible if characters can be repeated? Please explain HOW to find the answer. I am so stuck on this.
Answer by scott8148(3748) About Me  (Show Source):
You can put this solution on YOUR website!
there are 6 positions, each of which can be any one of 36 (26+10) characters (assuming the letters are not case sensitive)

so the number of possible passwords is 36*36*36*36*36*36 or 36^6


if the letters could be upper and lower case, then 62^6