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It's very well known that 19 is an impossible score to achieve when counting your hand.

What are the other impossible to achieve scores? I've read 25, 26, 27. Does anyone know the answer authoritatively?

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up vote 4 down vote accepted

All scores from 0 to 29 are possible with the exception of 19, 25, 26 and 27, as already mentioned.

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In standard cribbage... several variations involve more cards. And with the caveat that you're only counting the hand, not the play phase points. – aramis Aug 19 '11 at 19:51

Several sites state this truth.

For example:

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Why wouldn't a hand of JJJ5 with one of the jacks being the same suit as the starter (1 for his nob) not equal 19? Wouldn't that be 12 for the 3/kind plus 6 for the 15s plus 1 for his nob = 19?

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3 of a kind gives you 6 points (3 pair x 2pts/pair) for a total of 13 points with that hand – diego Dec 30 '14 at 20:16
This seems like a clarification of the question, not an answer - probably better posted as a comment on the original question. – Andrew Vandever Dec 30 '14 at 22:29
Lorraine raised a possible contradiction to the premise of the question (that 19 was impossible) but her answer contained a factual error that Diego clarified. – Stephen Dec 31 '14 at 0:37

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