Question

Suppose a company needs temporary passwords for the trial of a new payroll software. Each password will have two letters, followed by one digit, followed by one letter. The letter W will not be used. So, there are 25 letters and 10 digits that will be used. Assume that the letters can be repeated. How many passwords can be created using this format?

Answer 1

Answer: There are 6250 passwords that can be created using this format.

Step-by-step explanation:

Since we have given that

There are 25 letters

There are 10 digits.

Each password will have two letters followed by one digit followed by letter.

So, there are 10 options for the first position,

And 25 options in remaining two positions,

So, the number of password would be

$10\times 25^2\\\\=10\times 625\\\\=6250$

Hence, there are 6250 passwords that can be created using this format.