Question

each character in a password is either a digit or lowercase letter . how many valid passwords are there with the given restriction(s)?

Answer 1

To find the number of valid passwords, we multiply the number of choices for each character together.

Step-by-step explanation:

To find the number of valid passwords, we need to consider the number of choices for each character in the password. In this case, each character can either be a digit (0-9) or a lowercase letter (a-z).

There are 10 possible choices for a digit and 26 possible choices for a lowercase letter. Since each character can be chosen independently, we can multiply the number of choices for each character together to find the total number of valid passwords.

Therefore, the number of valid passwords is 10 choices multiplied by 26 choices for each character in the password. If the password has n characters, the total number of valid passwords is 10^n * 26^n.