Because in the Premier League there are 20 teams and then each team has to play all the other 19 teams. Now each season there are two types of matches, Home and Away. Therefore it is 19*2=38
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There are 20 teams. That means each team has 19 other teams to play. Every team plays the other team at home and away, so they play all the other teams twice. So 19 x 2 = 38.