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Three Digit Employee Id!!!

Math brain teasers require computations to solve.

 

Puzzle ID:#18872
Fun:*** (2.41)
Difficulty:*** (2.71)
Category:Math
Submitted By:lesternoronha1****

 

 

 



Two years ago, a problem surfaced at the Romankachi Pharmaceuticals Ltd. - one of the many companies belonging to the huge Romankachi conglomerate.

We were devising a three digit id (nonzero first digit) for the employees such that no two employees can have id's that are identical when written in the reverse order. For example, 123 and 321 are identical and hence only one of them can exist. Also a 3 digit id starting with a 0 was invalid since the machine used for swiping does not recognize a 3 digit id starting with a 0.

After a lot of careful analysis and discussion, we were able to figure out the maximum number of employees that could use this system. Can you repeat the feat?

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