Pauline has a roll of quarters ($10) to spend at the arcade. She wants to go to an arcade that has all three of her favorite games: Pac-Man, Defender, and Frogger. Of the 15 arcades in her town, 10...

Pauline has a roll of quarters ($10) to spend at the arcade. She wants to go to an arcade that has all three of her favorite games: Pac-Man, Defender, and Frogger. Of the 15 arcades in her town, 10 have Pac-Man, 7 have Defender, 4 have Frogger, 3 have both Pac-Man and Defender, 2 have both Pac-Man and Frogger, and 2 have both Defender and Frogger. Each arcade has at least one of the games. How many arcades, if any, have all three games?