SOLUTION: 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

Algebra ->  Probability-and-statistics -> SOLUTION: 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      Log On


   

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?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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From the context, repeating is allowed.


Then there are 3 possibilities for the very first position and (26+10) = 36 possibilities 

for each and every of five (5) remaining positions,  INDEPENDENTLY.


According to the Fundamental Counting Principle, it means that  3%2A36%5E5 = 181398528  different passwords are possible.    ANSWER

Solved.