Ordered arrangements and repeated objects

Practice permutations, ordered arrangements and repeated objects in this precalculus combinatorics set. Problems cover distinct roles, partial arrangements, repeated letters, adjacency blocks, forbidden neighbors and leading-position restrictions. Single-select and multiselect tasks ask you to identify ordering, replacement and distinguishability before selecting a counting method. Worked explanations show what each multiplication or division counts and why swapping identical objects does not create a new outcome. The practice progresses toward combined restrictions; arrangements are linear unless explicitly stated otherwise, and circular arrangements are outside this set.