A Swim Relay

A swim relay team requires one swimmer that does the backstroke, one swimmer that does the butterfly, one swimmer that does the breaststroke, and one swimmer that does freestyle. A can swim backstroke and breaststroke; B can swim backstroke and freestyle; C can swim backstroke, breaststroke, and butterfly; D can only swim butterfly; E can swim all four strokes; F can swim breaststroke and freestyle; and G and H can only swim freestyle. How many different relay teams can be formed?

Image Credit: Flickr Greg Punelli.
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