Seating Arrangements

Seating arrangements are a common real-world puzzle — from planning a wedding dinner to arranging students in an exam hall. The core idea is simple: count the number of ways people can be placed in a row or around a table, but the twist comes from constraints like "A and B must sit together" or "C cannot sit next to D." By treating groups as single units and carefully handling restrictions, you turn these problems into straightforward applications of permutations. Mastering this builds the spati …