Final answer:
Shaul has 2,340 possible passwords to choose from: 26 choices for the letter x 10 choices for the first digit x 9 choices for the second digit.
Step-by-step explanation:
In this case, Shaul made a password that consists of one letter followed by two digits, with the two digits being different.
To determine how many possible passwords Shaul chose from, we need to consider the number of choices that Shaul has for each part of the password.
- For the letter: There are 26 possible choices, as there are 26 letters in the English alphabet.
- For the first digit: There are 10 possible choices, as there are 10 digits (0-9).
- For the second digit: There are 9 possible choices, as the second digit must be different from the first digit.
Using the multiplication principle, we multiply the number of choices for each part of the password:
26 choices for the letter x 10 choices for the first digit x 9 choices for the second digit = 2,340 possible passwords that Shaul chose from.