Math Problem - Probability of Password Duplication

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Hi All:
Can someone who knows math & probability theory better than me (this isn't hard
to
do :)!) tell me how to figure out how many possible passwords I can generate by
having the following parameters?

Password Length = 11 to 14 characters
Possible Password Content = each character can be any 1 of 89 different
characters.
Character Set = a-zA-Z1-9{}[]()^_`~:;<=>? at !#$%&'+,-./
Excluded Characters = 0|\"

My understanding is that it would be:

char14 = 89*89*89*89*89*89*89*89*89*89*89*89*89*89 -- (1.95641099e+027)
char11 = 89*89*89*89*89*89*89*89*89*89*89          -- (2.77517307e+021)

result = char14 - char11

Also, could anyone give me a small function that would generate a random
password
using this character set?

Thanks In Advance
Regards
Brian Keene


=====
Regards
Brian Keene

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