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This is a Grouping: Defined-Moving, Balanced, Numerical Distribution game.
The game scenario establishes that five paralegals manuscripts are assigned to three different cases:
From the game scenario, the five paralegals must each be assigned to exactly one case each, and each case must be assigned at least one paralegal. This arrangement creates two unfixed numerical distributions of the 5 paralegals into the 3 cases:
Because all five paralegals are assigned, the game is Defined. But, because the number of paralegals assigned to each case is uncertain, the game is Moving. Because there are five paralegals and five positions for them, the game is Balanced.
With the basic structure in place, let us now turn to the rules.
The first rule establishes a relationship that is best represented by a double-arrow:
Accordingly, either F is assigned to Raimes and K is assigned to Thompson, or both are not assigned to those cases. You could also draw the contrapositive of this double-arrow, although it is inherent within the double-arrow and thus unnecessary. That representation would be:
The second rule states that either F is the sole paralegal assigned to his case, or that G is the sole paralegal assigned to her case, but that both instances cannot occur. Thus, in every solution to the game, exactly one of F and G will be the sole paralegal assigned to a case. Other paralegals could be the sole paralegal assigned to a case, a circumstance we will address shortly.
This rule is ultimately two rules in one so to fully represent it, we need two diagrams: One to show that one of F and G must be the sole paralegal assigned to a case:
and one to show that you cannot have both F and G as the sole paralegals assigned to a case:
This rule has a significant impact on the two numerical distributions that are possible in the game, and thus it can be even better represented by combining it with our two possible distributions:
- In the 3-1-1 distribution, either F or G is the paralegal assigned to exactly one of the cases with just one paralegal, and the other is assigned to the case with three paralegals. The other case with a single paralegal must be assigned to H, K, or L:
- Out of H, K, and L, one is assigned to a case with just one paralegal, and the other two are assigned to a case with three paralegals.
In the 2-2-1 distribution, F or G is the paralegal assigned to the case with just one paralegal: