Determine number of poker hands of each of given kinds


The poker hand comprises of 5 cards chosen at random from the standard 52-card deck. Determine number of poker hands of each of the given kinds.

i. Flush: 5 cards from same suit

ii. Straight Flush: 5 consecutive cards from same suits, letting an ace to be counted as either high (after king) or low (as a 1).

iii. 4 of a kind, plus the 5th card.

iv. Full house: 3 of one kind and 2 of another

v. 3 of a kind, but not the full house or 4 of a kind.

vi. Straight: 5 consecutive cards, not essentially from one suit.

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Mathematics: Determine number of poker hands of each of given kinds
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