If the duplicates are of two different cards, no matter which, it will be found that four different sequences of three cards each can be formed by changing the Aces and Threes alternately. Such combinations are therefore always worth 16 points: four runs of three, worth 12, and 4 points for the two separate pairs.
If the five cards contain one sequence of four, and one duplicate, the combination will always be worth 10 points; 8 for the double run of four, and 2 for the pair.
The foregoing should be thoroughly familiar to every player, so that he may know the exact value of the combination the moment he sees the length of the sequence and the number of duplicates.
Two-card Fifteens. Any combination of two or more cards, the total face value of which is exactly 15, is called fifteen-two, because each fifteen so formed is worth two points in the pegging. There are only three combinations of two cards which will form fifteen; a Five with any court card or Ten; a Nine and a Six; an Eight and a Seven. The manner of counting duplicates is the same as that employed for the pairs and sequences, and the player should be equally familiar with each variety of combination. The fifteens formed by two cards only are the simplest, and should be studied first.
It is obvious that if there is in the hand or the starter a duplicate of either of the cards forming the fifteen, no matter which, another fifteen can be formed, and the combination will therefore always be worth 6 points; 4 for the two fifteens, and 2 for the pair. It must not be forgotten that in the case of tenth cards, as they are called, the duplicates may not form pairs, as for instance with K J 5. The fifteen is duplicated, but there is no pair.
If there are two duplicates of either card, the combination will always be worth 12 points; 6 for the three fifteens, and 6 more for the pair royal.