Are we having a football match today?

Discrete Mathematics Level pending

Aufbau is preparing for the English Premiere League.
But Pauli informed him just a bit about the schedule.

"14 is the number of the days that has a football match.
20 days from total, there were no 8 p.m. matches.
28 days from total, there were no 10 p.m. matches.
If each day could have only a match."

How many days do all the matches take?

Assume that there are only two periods of time : 8 p.m. and 10 p.m.


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