4. Counting [25 points] A deck of 52 cards contains 4 suits and in each suite 13 cards of different ranks. Answer each of the following questions, showing the formula you used and the numeric result. a. How many different poker hands are there when a hand contains five cards? b. How many different hands have at least three cards of the same suit?

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4. Counting [25 points] A deck of 52 cards contains 4 suits and in each suite 13 cards of different ranks. Answer each of the following questions, showing the formula you used and the numeric result. a. How many different poker hands are there when a hand contains five cards? b. How many different hands have at least three cards of the same suit? c. How many different hands have at least three cards of the same rank? d. How many different hands have less than three cards of the same suit? e. How many different hands have less than three cards of the same rank?

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