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You need to select a 5-character password for an account. You may use the digits 0-9 or the lower case letters a-z. You may repeat digits or letters. How many possible passwords are there?

Answer 1

#36^5#

Since the digits are ten, and the letters are twenty-six, we have thirty-six possible character in total.

You can repeat characters, so every place is independent on the content of the others. This means that you have #36# choices for the character in the first place, #36# for the second, and so on. This means #36*36*36*36*36# in total, which is #36^5#.

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Answer 2

Avery Alexander

There are ( 36^5 ) possible passwords, as each character can be one of 36 options (26 lowercase letters + 10 digits).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.