This no-money tabletop exercise tests whether a physical card can be counted twice when arranging a small practice hand. The documented Paplu rule treats one physical card as unable to occupy two combinations at once.
The apparent six-slot solution
Hypothetical inventory: four of hearts, five of hearts, six of hearts, six of clubs, and six of spades. At first glance, the cards seem to offer two useful groups:
- Run: four of hearts, five of hearts, six of hearts.
- Set: six of hearts, six of clubs, six of spades.
The arithmetic exposes the problem: the run needs 3 card positions and the set needs 3, so the groups appear to need 6 positions. The inventory contains only 5 physical cards. The six of hearts is the overlap, because it is being counted in both groups.
Assignment one: keep the run
Label the cards as follows:
- Run: four of hearts, five of hearts, six of hearts.
- Unused cards: six of clubs and six of spades.
This assignment uses 3 cards and leaves 2 unused. The two remaining sixes have the same rank, but without another suitable card they do not complete the intended three-card set.
Assignment two: keep the set
Alternatively, reserve the six of hearts for the set:
- Set: six of hearts, six of clubs, six of spades.
- Unused cards: four of hearts and five of hearts.
Again, exactly 3 cards are assigned and 2 remain unused. The four and five of hearts are consecutive ranks, but they cannot form the stated three-card run without the six of hearts.
Removing the overlap
Add the hypothetical card six of diamonds. The three sixes of clubs, spades and diamonds now form a separate set, while four, five and six of hearts form the run. The groups are:
- Run: four of hearts, five of hearts, six of hearts.
- Set: six of clubs, six of spades, six of diamonds.
That is 3 + 3 = 6 assigned cards, with no card-copy identity used twice. This is only a static six-card grouping exercise, not a complete thirteen-card declaration or a claim about every rummy app’s rules.