How many four-character passwords can be formed using the characters A, B, C, 1, 2 if the characters can be repeated

625 four-character passwords can be formed.

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Each character of the password is independent of previous characters, which means that the fundamental counting principle is used to solve this question.

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

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Thus, the number of passwords is:

625 four-character passwords can be formed.

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Work Shown:

The set {A,B,C,1,2} has five items. There are four slots to fill.

So we have 5^4 = 5*5*5*5 = 625 different possible passwords where the characters can be repeated.

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