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APMOPS 2014 Question 25

APMOPS · APMOPS 2014

Question 25

Dates can be written as an 8-digit integer in the format of yyyymmdd. For example, 20140125 stands for January 25th 2014. How many days are there in year 2014 such that its 8-digit representation contains equal numbers of digit 0, 1, and 2?