olymmath

KöMaL 2018 C1472

    A certain game involves collecting cards with various things on them. Each card has exactly two of the following 9 things: colours (red, white, or green), elements (air, earth, fire, or water) and animals (rabbit or sheep). A card shows at most one of each category. In how many different ways is it possible to select four cards such that there are eight different things on them, provided that the game contains all possible combinations?

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