Probability and Statistics - Probability with Factorials Intro

This math unit begins by introducing students to basic combinatorial concepts, starting with calculating the number of ways to order sets of cards and letters without repetition, expressed through factorial multiplication. As the unit progresses, it delves deeper into probability and statistics, shifting focus to scenarios involving permutations with repetitions. Students learn to determine the number of possible arrangements for various card sets with one repeated card, incrementally increasing from three to five cards. Each worksheet elevates the complexity of problems and understanding, from simple factorial calculations to application in different ordering scenarios. Towards the end of the unit, the focus transitions to more theoretical applications, introducing the binomial coefficient notation (`nCm`) and calculating values for combinations in given scenarios. This progression builds a comprehensive understanding of factorials, permutations, and combinations, ultimately equipping students with the skills to tackle more complex probability scenarios.