Tricks to Solve Grouping Type Questions in P&C

Duration: 12 min

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Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. Section A: General Awareness: Polity, Physics, Biology, Chemistry, Static General Knowledge, History, Geography, Indian Economy, GK- Current Affairs, Evolution of Indian Banking (Banking & Financial Awareness), Environment
  3. Section A: General Intelligence & Reasoning ability: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Analytical Reasoning (Counting Figures Reasoning), Blood Relations, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Directions (Direction Test), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Selection Decision Table (Decision Making), Logical Sequence Of Words, Crypt Arithmetic, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence, TCS NQT Advanced Reasoning Ability
  4. Section A: Arithmetical & Numerical Ability: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Percentage, Average, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Mensuration and Geometry, Powers and Exponents (Surds and Indices), Algebra, Probability, Mental Ability, Age Problems, Partnership, Statistics, Arithmetic, Speed Mathematics and Basic Mathematics, Miscellaneous
  5. Section A: English Language & Comprehension: Vocabulary, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Tenses, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Articles, Sentence Construction, Preposition, Direct and Indirect Speech, Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Modals, Active Passive Voice (Voice), Sentence Correction (Error Correction), Adverb, Conjunction, Cloze Test (Cloze Passage)
  6. Section A: Hindi Language & Comprehension: भाषा, लिपि, ध्वनि, वर्ण, अक्षर, स्वर, व्यंजन, मात्रा और संयुक्ताक्षर, वर्तनी, वर्ण-विन्यास, अनुस्वार, अनुनासिक, चंद्रबिंदु और ‘र’ के रूप, शब्द, पद और शब्द-भेद, संज्ञा और सर्वनाम, विशेषण और क्रिया, लिंग, वचन, पुरुष और कारक, काल, वाच्य, वाक्य और वाक्य-भेद, संधि, समास, विलोम शब्द, पर्यायवाची शब्द, सामान्य अशुद्धियाँ, अनेक शब्दों के लिए एक शब्द, मुहावरे और लोकोक्तियाँ, अपठित गद्यांश और अपठित पद्यांश, Multi-Topic Content (Cross-Concept Material), वर्णमाला
  7. Section B: Programming, Data Structures, OOP & Java: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Java, OOPS with C++, Language Design, Intro to Compilers, Visual Basics, Syntax Analysis: Bottom-Up, Object Oriented Technology
  8. Section B: Computer Networks, TCP/IP & Network Security: Introduction to CN, Data Communication, DLL: Flow Control, DLL: Access Control, DLL: Error Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Access Technologies, Network Security, Society, Law & Ethics, Mobile Computing, Net Layer:Routing Protocol, Cyber Safety and Security
  9. Section B: Teaching Methodology: Child Development, Concept of Pedagogy, Theories, Inclusive Education, Experiential Pedagogy, Assessment & Evaluation, Curriculum Framework & Reforms, National Education Policy (NEP) 2020, Psychology, Teaching-Learning Process, Personality Development, Teaching Methods & Strategies, Learning and Motivation, Learners & Learning Process, Factors Affecting Teaching, Methods of Teaching, Nature, Objectives & Characteristics of Teaching, Teaching-Learning Aids & ICT Integration, Classroom Management & Communication, Evaluation, Assessment & Measurement, Curriculum & School Environment, Inclusive Education & Special Needs, Professional Development & Ethics
  10. Section B: Digital Electronics / Boolean Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Analog-Digital Conversion
  11. Section B: Operating Systems & Linux: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, File Management, Disc Scheduling, Unix OS, Linux OS, Distributed Systems, Windows OS
  12. Section B: Data Base Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, File Organization & Indexing, Transaction Management, Concurrency Control, Database Security & Authorization, Database Recovery, Data Warehousing & Mining
  13. Section B: Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, HTML Basics, CSS, Emerging Technologies, JavaScript-Basics, .Net Programming, Electronic Data Interchange and E-Commerce, XML
  14. Section B: Computer Fundamentals, IT Basics & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Register Transfer and Microoperations, Control Unit Design, Programming the Basic Computer, Terms & Abbreviations, MS Office Applications, Instr Formats & Modes, Floating Point Rep, Artificial Intelligence, साइबर सुरक्षा / Cyber Safety and Security, कंप्यूटर सॉफ़्टवेयर / Computer Software, ऑपरेटिंग सिस्टम / Operating System, वर्ड प्रोसेसिंग (MS Word) / Word Processing (MS Word), कंप्यूटर नेटवर्क / Computer Networks
  15. Section B: Python Language: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  16. Section B: Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management, extras, Fundamentals of Systems and Information Systems
  17. Section B: Design & Analysis of Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  18. Section B: Mathematics: Linear Algebra, Calculus, Trigonometry, Vectors, Set Theory, Functions, Relations, Propositional and Predicate Logic, Research Process Steps, Graph Theory, Number System & Place Value, Factors, Multiples, Divisibility, HCF & LCM, Mensuration — Perimeter, Area, Surface Area, Volume, Data Handling, Graphs & Probability, Coordinates & Graphs, Higher Mathematics — Trigonometry, Quadratics, Polynomials, Progressions, Statistics, Logarithms, समतल क्षेत्रमिति / Plane Mensuration, प्रतिचयन / Sampling
  19. Section B: Computer Graphics, Multimedia & Mobile Computing: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing, Multimedia
  20. Section B: Emerging Trends: Emerging Tech Trends, Knowledge Representation, Natural Language Processing
  21. DSSSB Previous Year Paper:
  22. Business Studies and Management: Business Communication, Business Organization and Management, Financial Accounting, Business Economics, Management Information System (MIS), Knowledge Management & New Economy
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video is a lecture on permutations and combinations, presented by an instructor from Knowledge Gate Educator. The video begins with a title slide that visually distinguishes between permutations and combinations using examples like a dice game and a fruit basket. The main content starts with a problem: "In how many ways can we arrange 4 boys and 5 girls?" The instructor explains that this is a permutation problem because the order of arrangement matters. He calculates the total number of arrangements as 9! (362,880), representing the permutation of 9 distinct individuals. The lecture then transitions to a more complex problem involving 5 boys and 4 girls, with four different constraints: (a) no two girls are together, (b) no two boys are together, (c) a particular pair of girls always sits together, and (d) a particular pair of girls do not sit together. For each case, the instructor uses the fundamental principles of permutations, including treating a group as a single unit and applying the formula nPk = n! / (n-k)!. The video concludes with a final 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide that introduces the topic of permutations and combinations. The slide is divided into four quadrants: the top-left shows a dice game, the top-right shows a fruit basket, the bottom-left shows a pizza, and the bottom-right shows two people in an office. The words "PERMUTATION" and "COMBINATION" are prominently displayed. The scene then transitions to a presentation slide titled "Confused" with the question "Should I unlock with Permutation or Combination?". This slide features a cartoon detective character and two lockboxes labeled "Permutation" and "Combination". The instructor, Yash Jain, is visible in a small window in the bottom right corner. The slide also includes the branding for "Knowledge Gate Educator" and the text "Basic To Advance".

  2. 2:00 – 5:00 02:00-05:00

    The video displays a problem on a yellow background with a pattern of small shapes. The problem is: "q: In how many ways can we arrange 4 boys and 5 girls?" The instructor begins to solve this by identifying the total number of students as 9. He explains that since the question is about arranging people, the order matters, which makes it a permutation problem. He writes the formula for the total number of arrangements as 9!, which he calculates as 362,880. He also notes that the arrangement of the 4 boys is 4! and the arrangement of the 5 girls is 5!, but clarifies that for the total arrangement of all 9 individuals, it is simply 9!.

  3. 5:00 – 10:00 05:00-10:00

    The video presents a new problem: "q: 5 Boys and 4 Girls" with four sub-questions. The instructor begins to solve the first part, (a) "No two girls are together". He explains that to ensure no two girls are together, the boys must be arranged first, creating spaces between them where the girls can be placed. He writes the arrangement of 5 boys as B1 B2 B3 B4 B5, which creates 6 possible spaces (before, between, and after the boys). He then explains that the 4 girls must be placed in 4 of these 6 spaces, which is a permutation of 6 items taken 4 at a time, written as 6P4. He calculates this as 6! / (6-4)! = 6! / 2! = 360. He then multiplies this by the number of ways to arrange the 5 boys, which is 5!, to get the total number of arrangements for this condition.

  4. 10:00 – 12:22 10:00-12:22

    The instructor continues to solve the remaining parts of the problem. For part (b) "No two boys are together", he explains that the girls must be arranged first, creating spaces for the boys. He writes the arrangement of 4 girls as G1 G2 G3 G4, which creates 5 spaces. He then calculates the number of ways to place 5 boys in these 5 spaces as 5P5, which is 5!. He multiplies this by the number of ways to arrange the 4 girls, which is 4!, to get the total. For part (c) "Particular pair of girls always sit together", he treats the pair as a single unit, so there are 8 items to arrange (the pair and the other 7 individuals). He calculates the number of arrangements as 8! and multiplies it by 2! (the number of ways the pair can be arranged within their unit). For part (d) "A particular pair of girls do not sit together", he explains that this is the total number of arrangements minus the number of arrangements where the pair sits together. He writes the formula as #total - #sit together, which is 9! - (8! x 2!). The video ends with a black screen that says "THANKS FOR WATCHING".

The video provides a structured and progressive lesson on permutations and combinations. It begins by establishing the fundamental difference between the two concepts using visual metaphors. The core of the lesson is a series of worked examples that build in complexity. The first example is a straightforward permutation of 9 distinct individuals. The second example, involving 5 boys and 4 girls, systematically applies the principles of permutations to solve four different constrained arrangement problems. The instructor demonstrates key problem-solving techniques, such as treating a group as a single unit and using the principle of subtraction to find the number of arrangements where a condition is not met. The progression from simple to complex problems effectively reinforces the core concepts of permutation and combination.

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