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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

861.0. "combinations/permutations" by DPDMAI::FRAMELI () Mon Apr 11 1988 07:28

    they just increased the lenght of my password from 6 to 12 characters.
    
    i can use 0-9, a-z, ., and _. how many combinations, or possible
    
    passwords are there??? how do you figure it?
    
    
    dale
T.RTitleUserPersonal
Name
DateLines
861.1It's a lotAKQJ10::YARBROUGHWhy is computing so labor intensive?Mon Apr 11 1988 13:4914
>    they just increased the lenght of my password from 6 to 12 characters.
>    i can use 0-9, a-z, ., and _. how many combinations, or possible
>    passwords are there??? how do you figure it?

Assuming a password can be of any length from 1 to 12; for each length L
there are 37 possible characters at each position, so 37^L possible
choices. The total is

	SUM(37^L, L=1..12) 
	= SUM(37^L, L=0..12) - 1 
	= (37^13-1) / (37-1) - 1
	= 6765 81178 37800 36260

Lynn Yarbrough 
861.2more...DPDMAI::FRAMELITue Apr 12 1988 07:415
    unfortunately my password has to be 12 characters, will this change
    
    things?
    
    dale
861.3A little smallerAKQJ10::YARBROUGHWhy is computing so labor intensive?Tue Apr 12 1988 15:271
In that case the number is simply 37^12, or 6582 95200 58400 35281.