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re: How long until bit.ly runs out of unique numbers? VIEW POST

FULL DISCUSSION
 

So first we have to calculate the number of possible URLs.
Each character can has 62 possible outcomes (26 + 26 +10).
And we have 7 alphanumeric characters.
Since the order of the characters is important (/abcde != /edcba) we have to apply the permutation 👨‍🎓.
But since we are replacing characters we have chosen before (e.g. /aaaa is possible) we have to use permutations with replacements.

626=56,800,235,584 62^{6}=56,800,235,584‬

So now that we have the number of possible URLs we just have to divide it by the frequency of the URLs being created.

56,800,235,5841000=56,800,235.584seconds \frac{56,800,235,584‬}{1000} = 56,800,235.584 seconds

So bit.ly would run out in about ‬56,800,235 seconds (about 658 days).

 
 

Should have read the task better. It's 7 digits so it should have been 62^7

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