102

In many parts of the world, including the USA and Europe, dates are written differently. In the USA, it's customary to write the month first, followed by the day and year (MM/DD/YYYY), while in Europe, it's common to write the day first, followed by the month and year (DD/MM/YYYY). This can sometimes lead to ambiguity, where a date could be interpreted differently depending on the format used.

How many days in a year have dates that cannot be interpreted unambiguously without knowing the specific date format being used?

Answer

132

SOLUTIOn

These are those days whose number can be the number of the month, that is, it takes a value from 1 to 12. There are 12x12 = 144 such days. But those days whose number coincides with the month number are understood unambiguously. Therefore, the required days are 144 − 12 = 132.

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