Poker theory is generally based on mathematical principals to define the theory.

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Fictitious play for multiway hand in push or fold regime

I know the theory behind the push or fold in heads up (Is well explained in The mathematics of poker of Chen & Ankenman). I know that exists software (e.g. ICM trainer) that computes the push or ...
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High Card only count

I am not very good at Math - could someone explain to me how to count how many 5 cards only have high card. A breakdown of high cards would also be appreciated. I do know what is special about 23457 ...