This math topic focuses on calculating the number of ways to arrange a set of cards, considering specific conditions where certain cards are repeated. It uses factorial equations to determine the arrangements, which is a fundamental application in probability and combinatorics. Specifically, the problems aim to work through permutations where cards must remain in an order from smallest to largest, despite duplicates—introducing concepts from Probability and Statistics, with an intro to Binomial Notation. Each problem presents multiple choice answers expressed in factorial terms and sequences, providing practice in identifying and solving factorial expressions for permutations.
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How many ways can these cards be arranged to still be arranged smallest to largest? Show as a factorial.