This math topic focuses on calculating the different ways to arrange multiple cards where some cards are duplicates. Specifically, the problems require arranging four cards (some repeated), and determining the number of valid sequences using factorial notation. This involves principles of permutation, particularly permutations of multiset, which traditionally uses factorial calculations to solve problems involving n objects where certain objects are indistinguishable due to being repeats. These exercises cater to Introductory Probability and Statistics, specifically within the context of Binomial Notation.
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How many ways can these cards be arranged to still be arranged smallest to largest? Show as a factorial.