Solving Ch 2.3 Exercises (Counting , Permutations & Combinations) | Walpole Prob & Stat | حل تمارين скачать в хорошем качестве

Solving Ch 2.3 Exercises (Counting , Permutations & Combinations) | Walpole Prob & Stat | حل تمارين

In this detailed tutorial video, Dr. Taha Khalaf provides a comprehensive solution to all problems from Section 2.3 of the Probability & Statistics textbook, focusing on Counting Techniques. Core Concepts Covered: Multiplication Rule: To calculate the total number of possible outcomes. Permutations (nPr): Arrangements where order matters. Combinations (nCr): Selections where order does not matter. Permutations with Repetition. Circular Permutations. Key Problems Solved: [01:54] Problem 2.21: Choosing a sightseeing tour from various options and days. [07:25] Problem 2.22: Classifying patients by blood type and blood pressure. [11:08] Problem 2.25: Displaying pairs of shoes with different styles and colors (multiple variations explained). [24:08] Problem 2.26: Adopting 5 out of 7 health rules. [30:31] Problem 2.30: Answering a True/False test. [32:01] Problem 2.32: Arranging 6 people in a line (with and without restrictions). [49:39] Problem 2.33: Answering a Multiple Choice test. [53:36] Problem 2.34: Permutations of letters from a word (and handling repetition). [58:27] Problem 2.35: Arranging 9 houses with different designs. [01:00:47] Problem 2.36: Forming 3-digit numbers (with restrictions like "odd" or "greater than"). [01:09:21] Problem 2.37: Arranging boys and girls alternately in a row. [01:15:08] Problem 2.38: Seating 4 married couples in a row (with restrictions like "each couple together"). [01:31:48] Problem 2.44: Planting 5 different trees in a circle (Circular Permutation). [01:32:46] Problem 2.45: Permutations from the letters of the word "infinity" (Permutations with Repetition). This video is an excellent reference for students to understand how to apply different counting rules to solve complex problems.