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. How many different 5-card hands can be formed that contain at least 4 red cards? How many different 5-card hands can be formed that contain at least one club and at least one heart? 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. How many different 5-card hands can be formed that contain at least 4 red cards? How many different 5-card hands can be formed that contain at least one club and at least one heart? How many different 5-card hands can be formed that contain at least one spade and at least two 10s?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 9ECP: In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different...

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