Engineer's Puzzle

The Puzzle: The number of numbers

An engineer has found himself in a bit of a riddle. For reasons that will take far too long to explain here, he needs to quantify the digits between 1 and 1000. So in other words how many individual 0s,1s,2s… 9s are there in the sequential sequence 1 to 1000.

Of course you should try to apply logic here and find a pattern, rather than manually count the numbers, but how you do it is up to you.

The question is:

a) What is the most common digit, and why?

b) What is the least common digit, and why?

c) And, if you really want to impress, how many occurrences of each digit are there in the sequence 1 to 1000?


Justin Cunningham

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