ANSWER -
If a password on a particular website must start with either A or B and must have 5 more characters that can be either a numeric digit or a letter of the alphabet, we can use the multiplication principle to calculate the total number of possible passwords.
Since the first character can be either A or B, there are 2 options for the first character. For each of those options, there are 36 options (26 letters + 10 digits) for the remaining 5 characters.
Using the multiplication principle, we can multiply the number of options for each position to get the total number of possible passwords:
2 (options for the first character) * 36^5 (options for each of the remaining 5 characters) = 2 * 60,466,176 = 120,932,352
Therefore, there are 120,932,352 different possible passwords that meet the requirements for this particular website.