How many different poker hands are there- how many, Financial Econometrics

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How many different poker hands are there- how many

A poker hand consists of 5 cards drawn from a 52-card deck.

(a) How many different poker hands are there?

(b) How many different poker hands are there that contain all four aces? What then is the probability of being dealt four aces? What is the probability of being dealt four of a kind (i.e., four aces, or four kings, or four queens, etc.)?

(c) How many different poker hands are there that contain exactly three aces? What then is the probability of being dealt three aces? What is the probability of being dealt three of a kind (i.e., three aces, or three kings, or three queens, etc.)?

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