Answer:
The number of ways are [tex]36^6-26^6=1867866560[/tex]
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,
[tex]36^6-26^6[/tex]
Here [tex]36^6[/tex] shows all possible ways and [tex]26^6[/tex] shows only lower case.
[tex]36^6-26^6=1867866560[/tex]
Hence, the number of ways are [tex]36^6-26^6=1867866560[/tex]
