Suppose a company needs temporary passwords for the trial of a new payroll software. Each password will have two digits followed by two letters. The letters J, K, and L and the digits 3 and 6 will not be used. So, there are 23 letters and 8 digits that will be used. Assume that the letters and digits can be repeated. How many passwords can be created using this format?

Question

Mathematics

Diana Silva

12 January, 06:33

Suppose a company needs temporary passwords for the trial of a new payroll software. Each password will have two digits followed by two letters. The letters J, K, and L and the digits 3 and 6 will not be used. So, there are 23 letters and 8 digits that will be used. Assume that the letters and digits can be repeated. How many passwords can be created using this format?

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Answers (1)

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Zachery Lam · Answer 1

33,856 passwords can be created using this format

Step-by-step explanation:

Since the letters and the digits can be repeated, for each letter there are 23 possible outcomes and for each digit there are 8 possible outcomes.

There are 2 letters and then 2 digits in the password. So

23*23*8*8 = 33,856

33,856 passwords can be created using this format