Question

How many different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions? (a) Length is 6 and the password must contain at least one digit.

Answer 1

Answer:

The number of ways are $36^6-26^6=1867866560$

Step-by-step explanation:

Consider the provided information.

The passwords contain only digits and lower-case letters.

Length is 6 and the password must contain at least one digit.

There are 26 lower case and 10 digits.

Total = 26+10=36

Length is 6 and the password must contain at least one digit.

Therefore,

$36^6-26^6$

Here $36^6$ shows all possible ways and $26^6$ shows only lower case.

$36^6-26^6=1867866560$

Hence, the number of ways are $36^6-26^6=1867866560$