Suppose a company needs temporary passwords for the trial of a new payroll software. Each password will have one digit followed by three letters. The letter G and the digits 2, 3, 4, and 5 will not be used. So, there are 25 letters and 6 digits that will be used. Assume that the letters can be repeated. How many passwords can be created using this format?passwords
Question
Suppose a company needs temporary passwords for the trial of a new payroll software. Each password will have one digit followed by three letters. The letter G and the digits 2, 3, 4, and 5 will not be used. So, there are 25 letters and 6 digits that will be used. Assume that the letters can be repeated. How many passwords can be created using this format?passwords
Solution
To calculate the total number of possible passwords, we need to multiply the number of possibilities for each character in the password.
- For the first character, we have 6 possibilities (digits 0, 1, 6, 7, 8, 9).
- For the second character, we have 25 possibilities (all letters except G).
- For the third character, we have 25 possibilities (all letters except G).
- For the fourth character, we have 25 possibilities (all letters except G).
So, the total number of possible passwords is 6 * 25 * 25 * 25 = 93,750.
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