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?

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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?

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Answer 1 · 2015-10-16T11:00:06

$36^{5}$ $36^5$

Explanation:

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 $36$ $36$ choices for the character in the first place, $36$ $36$ for the second, and so on. This means $36 \cdot 36 \cdot 36 \cdot 36 \cdot 36$ $36*36*36*36*36$ in total, which is $36^{5}$ $36^5$ .

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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?

1 Answer

Explanation:

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