A deck of cards in a game contains all four suits (Clubs ♣ and Spades ♠, which are black, and Hearts ♥ and Diamonds ♦, which are red), but only the cards with values 5, 6, 7, 8, 9, and 10. a. How many different 5- card hands can be formed using this deck? b. How many different 5-card hands can be formed that contain at least 4 red cards? c. How many different 5-card hands can be formed that contain at least one club and at least one heart? d. How many different 5-card hands can be formed that contain at least one spade and at least two 10s?

A deck of cards in a game contains all four suits (Clubs ♣ and Spades ♠, which are black, and Hearts ♥ and Diamonds ♦, which are red), but only the cards with values 5, 6, 7, 8, 9, and 10. a. How many different 5- card hands can be formed using this deck? b. How many different 5-card hands can be formed that contain at least 4 red cards? c. How many different 5-card hands can be formed that contain at least one club and at least one heart? d. How many different 5-card hands can be formed that contain at least one spade and at least two 10s?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.6: Permutations And Combinations

Problem 4SC

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