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October 29th, 2016, 05:54 AM  #1 
Newbie Joined: Oct 2016 From: Nigeria Posts: 1 Thanks: 0  I have a Math problem for an MVP app
The app is suppose to allow an individual or company use 3 characters to find each other. eg: EX1 , 007, G46, etc... within the scope of az and 09 to accommodate over 9 billion people. the question is the combinations of characters are limited. Looking for a mathematician to solve this problem in the best possible way.
Last edited by infcreations; October 29th, 2016 at 06:21 AM. 
October 29th, 2016, 10:52 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,530 Thanks: 1390 
you have an "alphabet" of 36 characters. you have 3 of these characters to a code. there are $36^3= 46656$ unique codes. You're going to either need a larger alphabet or more characters per code. You can see that adding more chars per code will be much more effective. For example increasing it to 5 gets you $36^5 = 60,466,176$ unique codes If you leave your alphabet alone you will need a 7 digit code to get to 9 billion unique codes. $36^6 = 2,176,782,336$ $36^7 = 78,364,164,096$ If you doubled the size of your alphabet somehow. You would still need 6 digits per code to get over 9 billion unique codes. Much easier to just use your original alphabet and 7 digit codes. 

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