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(Part of) the rules of Set read as follows: The dealer shuffles the cards and lays twelve cards (in a rectangle) face up on the table so that they can be seen by all players. The players remove a 'Set' of three cards as they are seen. Each 'Set' is checked by the other players. If correct, the 'Set' is kept by the player and the dealer replaces ...

(1) layout, or possibly deal; (2) replacement; (3) the cards [on the table]; (4) calling 'Set'; and (5) variation. I agree with these terms. You might add another for the Sets each player holds until scoring at the end of a round. Per the rules of Set, in the scoring portion: The number of 'Sets' held by each player are then counted, one point is ...