This math topic explores probability, specifically focusing on the arrangements of cards while maintaining a certain order. It delves into calculating the number of ways to organize cards, some of which repeat, using multiplication to express combinations. The problems also introduce students to concepts from binomial notation and probability within the context of arranging a set number of items (cards) where order is crucial. This is part of a broader study of probability and statistics. Each question requires students to consider different scenarios of card arrangements and calculate the total possible combinations.
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How many ways can these cards be arranged to still be arranged smallest to largest? Show as a multiplication.