4. A poker hand consists of five cards from a standard 52-card deck of cards. A standard deck consists of four suits, sp

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4 A Poker Hand Consists Of Five Cards From A Standard 52 Card Deck Of Cards A Standard Deck Consists Of Four Suits Sp 1 (63.17 KiB) Viewed 118 times

please only answer if you know how to do it (combinatorics)
4. A poker hand consists of five cards from a standard 52-card deck of cards. A standard deck consists of four suits, spades, hearts, diamonds, and clubs, with 13 cards in each suit, with denominations of 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and A. (a) In how many ways can a poker hand be dealt? (b) How many different poker hands are there? (c) A full house consists of three cards of one denomination and two cards of another denomina- tion. How many different full house poker hands are there? (d) Four of kind consists of four cards of the same denomination and one card of another denom- ination. How many different four of a kind poker hands are there? (e) A flush consists of five cards of the same suit. How many different flush poker hands are there? (f) A straight consists of five cards with consecutive denominations. (An Ace can be either low or high, so that A, 2, 3, 4, 5 and 10, J, Q, K, A are both allowable straights). How many different straight poker hands are there?