Artificial intelligent assistant

Number of possibilities: A nip of 4 digits and one letter I think the result is $10^4 \cdot 52$. Am I right?

If you are asking for the number of strings of the form four digits followed by an uppercase/lowercase letter. Then you are correct. There are $10$ choices for each digit and $52$ choices for the last symbol. Hence there are $$ 10^4 \times 52 $$ ways.

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