شرح وحل مسألة | Married Couples Probability Calculation using Inclusion Exclusion Principle скачать в хорошем качестве

شرح وحل مسألة | Married Couples Probability Calculation using Inclusion Exclusion Principle

In this video, we solve a classic probability and combinatorics problem using the Inclusion-Exclusion Principle: Problem: If 4 married couples are arranged in a row, what is the probability that no husband sits next to his wife? We go step by step through: Counting total possible arrangements Defining events where each couple sits together Applying the Inclusion-Exclusion Principle to find the number of valid arrangements Computing the final probability This problem beautifully demonstrates how inclusion-exclusion helps when events overlap — a common challenge in advanced counting problems. 📚 Topics covered: Counting and permutations Not mutually exclussive events in probability Inclusion-Exclusion principle Logical reasoning and systematic counting