thor,
What do you mean suit doesn't matter? In cribbage, you get 4 points if all 4 cards in your hand are the same suit. If you want to prove that no hand with a 5 isn't worth at least 2 points you HAVE to consider suits. You can easily use Re: Iterating over combinations to generate the hands. The hard part is the scoring.

On the other hand, it is a lot easier to prove that there is a hand of 5 cards containing at least 1 five that is a total of less than 2 points.

• 4 cards (your hand) must not all be of the same suit
• Must not contain any cards with a value of 10
• Must not containing any combination (excluding the 5) whose sum is 10
• Must not contain any 2, 3, or 4 of a kind
• Must not have any sequence of greater than 2

I don't have an implementation yet, but it certainly does reduce the problem set.

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