Question on Finding Rank of a Word Without Repetition

Duration: 11 min

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Inside: a video lesson and guided study material.

Module outline

  1. About the Course: About the Course
  2. Section 1 | Language (Hindi): भाषा, लिपि और वर्ण, वर्तनी, वर्ण-विन्यास, अनुस्वार, अनुनासिक, चंद्रबिंदु और ‘र’ के रूप, शब्द, पद और शब्द-भेद, संज्ञा और सर्वनाम, पद-भेद और रूप-विकार, 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, शब्द-भंडार, अपठित बोध, Multi-Topic Content (Cross-Concept Material), वर्णमाला
  3. Section 1 | Language (उर्दू भाषा — 22 प्रश्न (निश्चित)): رسم الخط، حروفِ تہجی اور املا / Script, Alphabet and Spelling, اسم، ضمیر اور صفت / Nouns, Pronouns and Adjectives, الفاظ، محاورے اور ضرب الامثال / Vocabulary, Idioms and Proverbs, تفہیمِ عبارت، انشا اور ترجمہ / Comprehension, Writing and Translation, Comprehension
  4. Section 1 | Language (বাংলা / बांग्ला भाषा — 22 प्रश्न (निश्चित)): শব্দার্থ, বাগধারা ও ভাষাশুদ্ধি / Meaning, Idioms and Correct Usage, বাক্য ও বাচ্য / Sentences and Voice, শব্দগঠন ও শব্দভান্ডার / Word Formation and Vocabulary, অনুবাদ, বোধপরীক্ষণ ও রচনা / Translation, Comprehension and Composition
  5. Section 1 | Language (English): Vocabulary, Noun, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Verbs and Tenses, Pronoun, Verb, Adverb, Prepositions and Conjunctions, Parts of Speech, Determiner, Conjunction, Modals, Transformation of Sentences, Direct and Indirect Speech, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Construction, Sentence Structure and Common Errors, Reading Comprehension, Cloze Test (Cloze Passage), Verbal Analogy (Word Based Analogy), Facts, Inference and Judgements
  6. Section 2 | Primary Maths & Reasoning: अनुपात और समानुपात / Ratio and Proportion, Divisibility Rules, मिश्रण और एलिगेशन / Mixture and Alligation, Permutation and Combination, संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Sequence and Series (Series), समय, चाल और दूरी / Time, Speed and Distance, श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, अशाब्दिक तर्क / Non-Verbal Reasoning, प्रतिशत / Percentage, औसत / Average, लाभ, हानि और बट्टा / Profit, Loss and Discount, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, समय और कार्य / Time and Work, घन क्षेत्रमिति / Solid Mensuration, Age Problems, Arithmetic, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, Algebra, Probability, Trigonometry, Syllogisms, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, Analytical Reasoning (Counting Figures Reasoning), गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, कैलेंडर एवं घड़ी / Calendar and Clock, Clock, घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, Data Arrangement, Inequality, सादृश्यता एवं वर्गीकरण / Analogy and Classification, क्रम एवं रैंकिंग / Order and Ranking, समुच्चय, संबंध, फलन और विविक्त गणित / Sets, Relations, Functions and Discrete Mathematics, संख्या पद्धति और संख्या सिद्धांत / Number Systems and Number Theory, निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति / Coordinate Geometry, Vectors and 3D Geometry, बहुपद, समीकरण और सम्मिश्र संख्याएँ / Polynomials, Equations and Complex Numbers
  7. Section 2 | General Awareness (GK + Current Affairs): Polity, वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Biology, राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge, Chemistry, History, Geography, Indian Economy, Environment, समसामयिकी / Current Affairs, Static General Knowledge
  8. Section 3 | Computer System and Org. (CSO): Basics of COA, Floating Point Rep, Cache Memory Organization, Instr Formats & Modes, Programming the Basic Computer, Input Output Organisation, Register Transfer and Microoperations, Control Unit Design
  9. Section 3 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, SQL, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control
  10. Section 3 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Process Synchronization
  11. Section 3 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow 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
  12. Section 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Minimum Spanning Trees, Shortest Path Algos
  13. Section 3 | Theory Of Computation & Compiler Design: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization
  14. Section 3 | Emerging Trends (AI, Societal Ethics & MS Office): कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, Emerging Tech Trends, Society, Law & Ethics, MS Office Applications, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection, साइबर सुरक्षा / Cyber Safety and Security, कंप्यूटर सॉफ़्टवेयर / Computer Software, ऑपरेटिंग सिस्टम / Operating System, कंप्यूटर नेटवर्क / Computer Networks, वर्ड प्रोसेसिंग (MS Word) / Word Processing (MS Word), Terms & Abbreviations, प्रेज़ेंटेशन (MS PowerPoint) / Presentation Software (MS PowerPoint)
  15. Section 3 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Maintenance and Configuration Management, Software Testing
  16. Section 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Section 3 | OOPS, C++, JAVA, HTML: OOPS with C++, Java, HTML Basics, CSS
  18. Section 3 | Java: Java Fundamentals, Array, String, IO & References, OOPS with Java
  19. Section 3 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  20. Section 3 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  21. Section 3 | Multimedia: Multimedia
  22. BPSC Previous Year Papers:
  23. BPSC Full Mock Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain from Knowledge Gate Educator, is a comprehensive tutorial on the mathematical concept of 'Rank of a Word' in permutations and combinations, specifically for words with no repeated letters. The video begins with an introduction to the topic, using a title slide that clearly states 'Rank of a Word (Without Repetition)'. The core of the lesson is a detailed, step-by-step worked example to find the rank of the word 'MOTHER'. The instructor uses a whiteboard to demonstrate the method: first, he lists the letters of the word in alphabetical order (E, H, M, O, R, T), then calculates the number of words that can be formed starting with each letter that comes before 'M' in the alphabet. He uses the formula for permutations (n!) to calculate the number of such words (e.g., 5! for words starting with E or H). The calculation proceeds by summing these values and adding 1 for the word itself, resulting in a final rank of 240 + 48 + 18 + 1 = 307. The video also includes a brief, humorous interlude with a series of Indian mom memes to engage the audience, but the primary focus remains on the mathematical method. The video concludes with a final slide summarizing the calculation and a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide for a lesson on 'Permutation' and 'Combination', featuring a collage of images like a roulette table and a fruit basket. This transitions to a presentation slide titled 'Confused' with the question 'Should I unlock with Permutation or Combination?'. The slide visually contrasts a 'Permutation' lock (where order matters) with a 'Combination' lock (where order does not matter), using a detective character to illustrate the confusion. The instructor, Yash Jain, is visible in a small window, introducing the topic. The video then moves to a new slide with a pink background and space-themed graphics, clearly stating the lesson's title: 'Rank of a Word (Without Repetition)'. The instructor begins to explain the concept, setting the stage for the main problem.

  2. 2:00 – 5:00 02:00-05:00

    The video displays a series of humorous memes related to Indian mothers, such as 'INDIAN MOMS BE LIKE' and 'Every MOM'S Reaction', to entertain the audience. The instructor, Yash Jain, is seen in a small window, likely providing commentary. This segment serves as a brief interlude. The video then transitions to a new slide with the question 'q: Find the rank of the most precious word of dictionary?'. The instructor uses this as a setup to introduce the main problem, which is to find the rank of the word 'MOTHER'. The slide shows a meme of a woman in a royal chair, with text in Hindi, which the instructor explains is a common way to express the idea of a 'precious' word. The instructor then begins to explain the method for finding the rank of a word.

  3. 5:00 – 10:00 05:00-10:00

    The video focuses on the core mathematical problem: finding the rank of the word 'MOTHER'. The instructor, Yash Jain, uses a whiteboard to demonstrate the step-by-step process. He first writes the word 'MOTHER' and then lists its letters in alphabetical order: E, H, M, O, R, T. He explains that to find the rank, we need to count all the words that come before 'MOTHER' in a dictionary. He starts with the letter 'M'. The letters that come before 'M' are 'E' and 'H'. He calculates the number of words starting with 'E' as 5! (120) and the number of words starting with 'H' as 5! (120). He then moves to the next letter, 'O', and calculates the number of words starting with 'MO' that come before 'MOTHER'. He identifies the letters that come before 'O' in the remaining set (E, H, R, T), which are 'E', 'H', and 'R'. He calculates 3 * 4! (72) for these words. He continues this process for the remaining letters, calculating 2 * 3! (12) for words starting with 'MOH', and 1 * 2! (2) for words starting with 'MOTH'. The final calculation is 120 + 120 + 72 + 12 + 2 + 1 = 327. The instructor then corrects his calculation, stating the final rank is 307, which is the sum of 240 (120+120) + 48 (3*4!) + 18 (2*3!) + 1 (1*2!) + 1 (the word itself). The instructor explains that the final answer is 307.

  4. 10:00 – 11:17 10:00-11:17

    The video transitions to a final summary slide. The instructor, Yash Jain, is visible in a small window. The main slide shows the completed calculation for the rank of 'MOTHER'. The letters are listed in alphabetical order: E, H, M, O, R, T. The calculation is shown as 5! + 5! + 3*4! + 2*3! + 1*2! + 1, which equals 120 + 120 + 72 + 12 + 2 + 1 = 327. The instructor then corrects this, stating the final rank is 307. The video then shows a slide with a list of tasks for the audience, such as 'Touch HER Feet' and 'Hug HER', with difficulty levels. The video concludes with a 'Thanks for Watching' screen, which is a black background with an orange box containing the text 'THANKS FOR WATCHING'.

The video provides a clear and structured lesson on calculating the rank of a word in a dictionary, a key topic in permutations and combinations. It begins with a conceptual introduction, using a relatable analogy of a lock to distinguish between permutation and combination. The main body of the video is a detailed, step-by-step worked example for the word 'MOTHER'. The instructor methodically breaks down the problem by considering each letter in the word and calculating the number of valid permutations that would come before it in the dictionary. The use of a whiteboard for the calculation makes the process transparent and easy to follow. The video effectively combines rigorous mathematical instruction with light-hearted, culturally relevant memes to maintain student engagement, culminating in a clear final answer and a summary of the method.

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