Question

A password must have 1 letter and 3 digits how many different passwords are possible

Answer 1

To answer your new question, there are 26 letters in the alphabet and 10 digits (0-9). To create a password with 1 letter and 3 digits, you can choose the letter in 26 ways and the digits in 10 x 10 x 10 = 1000 ways. Therefore, the total number of possible passwords is 26 x 1000 = 26

Answer 2

Explanation:

To calculate the number of different passwords that are possible, we need to consider the number of choices for each component of the password.

For the letter component, there are 26 choices (assuming we are considering only lowercase letters).

For the first digit, there are 10 choices (0-9), and for the second and third digits, there are also 10 choices each.

Since the components of the password are independent of each other, we can multiply the number of choices for each component to determine the total number of possible passwords:

Number of passwords = Number of choices for letter * Number of choices for first digit * Number of choices for second digit * Number of choices for third digit

Number of passwords = 26 * 10 * 10 * 10 = 26,000

Therefore, there are 26,000 different possible passwords that consist of 1 letter and 3 digits.