Permutation & Combination | Exercise 7.3 (Q# 1 to 6 ) | Chapter 7 | 1st Year Mathematics скачать в хорошем качестве

Permutation & Combination | Exercise 7.3 (Q# 1 to 6 ) | Chapter 7 | 1st Year Mathematics

Alhamdulillah! In today’s lecture, we recorded an important Mathematics class in which we started Exercise 7.3 of Chapter #7 – Permutation and Combination with a strong conceptual foundation. 🔹 In this lecture, we covered: 📘 Exercise 7.3 – Circular Permutation • Introduction to Circular (Round Table) Permutation • Why circular arrangements are different from linear permutations • Logical explanation of (n − 1)! formula • Difference between clockwise and anticlockwise arrangements 📘 Permutation of words with repeated letters: • Questions #1–4:   – How to find permutations when letters are repeated   – Correct use of factorial formula in repeated-letter words   – Step-by-step solutions with clear logic 📘 Round Table Permutation: • Questions #5 & #6:   – Arrangement of persons around a round table   – Concept of fixed position in circular permutation   – Complete conceptual clarity before solving questions 🔹 Teaching methodology: 📌 Each question was solved step by step with proper mathematical working. 📌 Concepts were explained from basic to board level. 📌 Common student mistakes were highlighted. 📌 All solutions were discussed according to Punjab Board exam pattern. 🔹 Key features of this lecture: ✔ Clear explanation of circular permutation ✔ Repeated letters permutation explained in detail ✔ Board-oriented and exam-focused lecture ✔ Easy language and logical approach ✔ According to Punjab Board syllabus 📌 This lecture is very important for board exams, especially for students who face difficulty in permutation concepts. 📘 Next Lecture: ➡️ Remaining questions of Exercise 7.3 will be continued, InshaAllah. 📺 Like, share, and subscribe to Mathematics with Furqan Ali for concept-based and exam-oriented Mathematics lectures.