A standard 52-card deck contains cards of 4 suits and 13 ranks, each card being a unique pair of (rank, suit). A hand is set of 5 distinct cards. The worst hand in poker occurs when the ranks are all different but not all consecutive and the suits are not all the same. Determine how many of such hands are possible.

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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A standard 52-card deck contains cards of 4 suits and 13 ranks, each card being a unique pair of (rank, suit). A hand is set of 5 distinct cards. The worst hand in poker occurs when the ranks are all different but not all consecutive and the suits are not all the same. Determine how many of such hands are possible.
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