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some particular website, the password must start with A or B there must be 5 more characters, and each of the characters may be a numeric digit or letter of the alphabet how many diffrent passwords are possible

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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.
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