How many passwords are there which contain 1 One english wor

How many passwords are there which contain:

1. One english word followed by at most 2 digits ( assume there are 2000 possible english words).

2. At most 5 alphabetic characters, digits, or punctuation (or any combination thereof).

Please show your work too, thanks!

edit: it did not specify length

Solution

1. Total possible passwords = passwords with words only + passwords with words and followed by 1 digit + passwords with words and followed by 2 digits

= 2000 + 2000*10 + 2000*10*10

= 222000

2.

Please specify the maximum allowed length of passwords and how many punctuation can be used than only we can calculate the total possible passwords.

How many passwords are there which contain: 1. One english word followed by at most 2 digits ( assume there are 2000 possible english words). 2. At most 5 alpha

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