Types Of Relation And Counting | Group Theory| Target CSIR NET JUNE 2026 | Lec-2 | IFAS

Types Of Relation And Counting explained with clear concepts and exam-focused approach. Master Types of Relations and Counting of Relations with essential CSIR NET tricks. This session covers reflexive, symmetric, transitive definitions and problem-solving crucial for Group Theory and competitive exams. 🔥Join India's Best Coaching for CSIR NET and GATE Exams: https://ifasonline.com/csir-net/mathe... 📞 Need Guidance? Call/WhatsApp: 9172266888 ━━━━━━━━━━━━━━━━━━━━━━━━━ ⏳ Lecture Timeline: [00:00] – Introduction [00:02] – Course Announcement: 35% Off [02:57] – Concept: Ordered Pair [05:29] – Concept: Cartesian Product [06:56] – Important: A×B = B×A Condition [07:21] – Cardinality of Cartesian Product [08:05] – Empty Set and Cartesian Product [09:17] – Power Set of Cartesian Product [12:13] – Concept: Relation Definition [13:27] – Question 1: Relation Set Builder [14:38] – Trick: Counting Total Relations (2^nm) [15:26] – Diagram: Pictorial Representation [17:13] – Concept: Domain of Relation [18:40] – Concept: Codomain vs Range [20:44] – Concept: Empty Relation [22:38] – Concept: Identity Relation [24:37] – Question 2: Identify Identity Relation [27:20] – Trick: Identity Relation Counting (1) [31:11] – Concept: Reflexive Relation [32:38] – Important: Identity ⊆ Reflexive [33:53] – Question 3: Identify Reflexive Relations [39:39] – Trick: Counting Reflexive Relations (2^(n²-n)) [42:26] – Concept: Symmetric Relation [43:56] – Question 4: Identify Symmetric Relations [48:34] – Trick: Empty Relation Symmetry (Vacuous Truth) [49:28] – Trick: Counting Symmetric Relations (2^(n(n+1)/2)) [56:02] – Concept: Transitive Relation [58:37] – Important: Symmetric vs Transitive Logic [01:00:11] – Question 5: Identify Transitive Relations [01:02:40] – Common Mistake: Transitivity Check Order [01:04:17] – Complete Lecture ━━━━━━━━━━━━━━━━━━━━━━━━━ 📖 Topics Covered in This Lecture: Ordered Pair & Cartesian Product Concepts Domain, Codomain, Range Definition Types: Empty, Identity, Reflexive Relations Symmetric & Transitive Relations PYQ Counting Relations Tricks & Formulas ━━━━━━━━━━━━━━━━━━━━━━━━━ 📚 Lecture Summary: In this session, IFAS Expert Faculty focuses on mastering Types of Relation definitions and their cardinality formulas. Key concepts include Cartesian products, reflexive vs identity subsets, symmetric pair counting (2^(n(n+1)/2)), and transitive condition verification. The approach emphasizes problem-solving using set theory logic and relevant PYQ analysis to solidify Types of Relation retention for CSIR NET June 2026 Group Theory preparation. ━━━━━━━━━━━━━━━━━━━━━━━━━ 🎓 This lecture is highly beneficial for students preparing for: ✅ CSIR NET Mathematical Science ✅ GATE Mathematics ✅ SET Mathematics ✅ TIFR Mathematics ✅ PhD Entrance Exams ━━━━━━━━━━━━━━━━━━━━━━━━━ 🏆 Why IFAS is India’s No. 1 Choice for CSIR NET & GATE Mathematics? (Our Results Speak): ✅ CSIR NET Dec 2025: 4000+ Selections (AIR 3, 8, 9.....) ✅ CSIR NET June 2025: 4200+ Selections (AIR 1, 2, 6, 10...) ✅ CSIR NET Dec 2024: 4000+ Selections (AIR 5, 6, 7, 8, 9...) ✅ CSIR NET June 2024: 2000+ Selections (AIR 3, 10, 13...) ✅ CSIR NET Dec 2023: 1200+ Selections (AIR 2, 4, 5...) 📄 View IFAS Result Sheet: 👉 https://drive.google.com/file/d/1THh6... ━━━━━━━━━━━━━━━━━━━━━━━━━ 🔗 Important Links: 🌍 Visit our Website: https://ifasonline.com 📞 Contact for Queries: 9172266888 📘 Free Counselling: https://ifasonline.com/csir-net/mathe... ━━━━━━━━━━━━━━━━━━━━━━━━━ 🔗 India's Best Online Classes and Books: 🔥CSIR NET Mathematical Science Live & Recorded Course: https://ifasonline.com/csir-net/mathe... 🎯 GATE Mathematics Recorded Course: https://ifasonline.com/gate/mathemati... 📘CSIR NET Mathematical Science Books: https://ifasonline.com/csir-net/mathe... ━━━━━━━━━━━━━━━━━━━━━━━━━ 📲 Download IFAS App: Android: https://play.google.com/store/apps/de... IOS: https://apps.apple.com/us/app/ifas/id... ━━━━━━━━━━━━━━━━━━━━━━━━━ Stay Updated Via Other Social Media: ✔Telegram: https://t.me/NET_GATE_SET_Maths_Discu... ✔Instagram:   / csir_net_mathematical_science   #csirnetmathematicalscience #gatemathematics #csirnetmaths #csirnetjune2026 #csirnetlecture #ifasmathematics