Maths Olympiad Prep

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, 2016

Combinatorics Difficulty 3.0 AMC 10/12 Prove it United Kingdom

Stephanie enjoys swimming. She goes for a swim on a particular date if, and only if, the day, month (where January is replaced by '01' through to December by '12') and year are all of the same parity (that is they are all odd, or all are even). On how many days will she go for a swim in the two-year period between January 1st of one year and December 31st of the following year inclusive?

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