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Poker Hands Counting Problem

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Your question is Poker Hands Counting Problem. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

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Problem

Tell me about how you would solve a poker hands counting problem like Project Euler problem 54 to compute how many times a player wins.