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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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