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We ran into a friendly argument while playing cribbage today and we're stumped as to how to count this hand. How do you count 3 Sixes, 1 Seven and 1 Eight?

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First of all, there's only one fifteen: the seven and the eight. That's two points. (Note that the sixes can't participate in 15s at all)

Next, there are three runs of three: each six in turn, the seven, and the eight. That's 3*3 = nine points.

Finally, there's the trio of sixes, worth six points (or equivalently, three pairs of sixes).

So the final score for the hand is 2+9+6 = 17 points.

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Greatly appreciate your help! Thank you. – Andrea Oct 18 '13 at 23:12
Another way to look at the hand is taking the shortcut that you have a triple run which is worth 15 (as opposed to a double double run which is 16) with a single "fifteen-two" for a total of 17 points. – corsiKa Oct 19 '13 at 2:03
@corsiKa: Those shortcuts are important in becoming a better player. – Forget I was ever here Oct 20 '13 at 18:09

Here is a web page that you can use to score any cribbage hand:

And, here is your specific hand,6D,6H,7S,8D

The page is really cool because it shows a list of all scoring combinations:

Scoring Details
15 Count    7S,8D       2
Pairs       6H,6S,6D    6
Straights   6S,7S,8D    9
Jack                    0
Flush                   0
Total                   17
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