This math topic focuses on the calculation of probabilities involving factorials, specifically through exercises about arranging a set of cards, some of which are duplicates, in orders from smallest to largest. It challenges students to understand and apply factorial concepts to find the number of valid arrangements of cards, considering repetitions. Each question presents different configurations of cards and asks for the count of valid sequences that preserve a specified order, which is to be expressed as a factorial equation. The topic is part of a broader study on probability and statistics involving factorials.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.