How many different computer passwords are possible if each consists of 4 symbols, the first must be a letter and the other 3 must be digits?

1 Answer
Daniel L.
Dec 18, 2016

There are #52,000# different passwords.

Explanation:

Let the password be "????"; first question mark stands for a letter, and the other represent digits.

The first sign can be chosen in #52# ways (there are 26 letters and each of them can be either lowercase or uppercase).

Each of 3 other signs can be chosen in 1 of 10 ways, so final number of possible passwords can be calculated as:

#n=2xx26xx10^3=52xx10^3=52,000#

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