Chocolate Picking Problem

Duration: 6 min

This video lesson is available to enrolled students.

Return to /learn/RSSB-INFORMATICS-ASSISTANT/numerical-ability-problem-solving/permutation-and-combination/special-applied-problems/asset-chocolate-picking-problem after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. Numerical Ability & Problem Solving: Speed Mathematics and Basic Mathematics, Arithmetic, Number System, HCF LCM, Divisibility Rules, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Mixture and Alligation, Time and Work, Pipe and Cistern, Speed Time and Distance, Age Problems, Partnership, Data Interpretation, Mental Ability, Sequence and Series (Series), Powers and Exponents (Surds and Indices), Algebra, Statistics, Logarithm, Mensuration and Geometry, Permutation and Combination, Probability, Sequences and Series, Powers, Surds and Logarithms, Subject-Verb Agreement, Sentence Completion, Geometry, Sentence Structure and Correction, Data Sufficiency, Trigonometry, Measurement and Quantity Take-Off, Signal Space and Optimum Detection, Probability, Statistics, Algebra, Time and Work, Speed, Time and Distance, Data Interpretation, Combinatorics
  2. Logical Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Directions (Direction Test), Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Logical Sequence Of Words, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence, Selection Decision Table (Decision Making), Alphabet and Word Tests, Numerical Reasoning, Number System, Averages, Mixtures and Alligation, Percentages, Series Completion, Analogy and Classification, Patterns in Two-Dimensional Figures, Coding and Decoding, Mathematical Operations, Direction Sense, Logical Deduction and Induction, Syllogisms and Venn Diagrams, Critical Reasoning, Order, Ranking and Sequence, Reading Comprehension, Profit, Loss and Discount, Constraint Puzzles, Traverse Surveying, Ratio and Proportion, Mensuration, Permutations and Combinations, Clocks and Calendars, Assembling and Grouping of Shapes, Transformation of Shapes, Three-Dimensional Patterns and Visualization, Cubes and Dice, Vocabulary, Blood Relations
  3. General Knowledge & Current Affairs (India + Rajasthan): History, Geography, Polity, Indian Economy, Static General Knowledge, State Wise GK, GK- Current Affairs, Environment, Physics
  4. Computer Fundamentals & Operating Systems: Basics of COA, Floating Point Rep, Digital Systems & Boolean Basics, Number Representation, Number System, Introduction to OS, File Management, Windows OS, Unix OS, Linux OS, Register Transfer and Microoperations, Virtual Memory
  5. Computer Networks: Introduction to CN, Data Communication, DLL: Error Control, DLL: Access Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Application Layer, Hardware Basics, Network Security
  6. Cyber Security: Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Electronic Data Interchange and E-Commerce, Physical Security and Cryptography Basics, Intrusion Detection Systems (IDS), Cyber Safety and Security, Ethical Hacking
  7. Programming (C & OOP): C Fundamentals, Control Flow, Arrays & Pointers, Functions, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, OOPS with C++, Operators & Expressions, Sorting Algorithms, Java Fundamentals, Java
  8. MS Office & Data Processing: MS Office Applications, Basics of DBMS
  9. Internet & Web Technology: Society, Law & Ethics, Terms & Abbreviations, Keyboard Shortcuts, Emerging Tech Trends, Artificial Intelligence, Emerging Technologies, Internet Fundamentals, Website, Browser & Services, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security
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 card and a slide that introduces the confusion between permutations and combinations, using a visual metaphor of a detective trying to unlock a door with a combination lock. The instructor then presents a specific problem: calculating the number of ways to choose 10 balls from three jars containing 6 green, 6 blue, and 5 red balls respectively. The solution is derived by setting up a system of equations for the number of balls taken from each jar (g, b, r) and solving for the number of non-negative integer solutions, which is a classic stars and bars problem. The final answer is calculated as 12 choose 10, which equals 66. The video concludes with a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card featuring the words 'PERMUTATION' and 'COMBINATION' over images of a dice game and a fruit basket. It then transitions to a presentation slide titled 'Confused' with the question 'Should I unlock with Permutation or Combination?'. The slide uses a visual metaphor of a detective with a magnifying glass trying to unlock two doors labeled 'Permutation' and 'Combination', both of which are locked. The instructor, Yash Jain, is visible in a small window in the bottom right corner. The slide also includes the 'Knowledge Gate Educator' logo and the text 'Basic To Advance'.

  2. 2:00 – 5:00 02:00-05:00

    The video displays a problem statement on a whiteboard: 'There are 3 jars, the first jar contains 6 identical green balls, the second jar contains 6 identical blue balls and third jar contains 5 identical red balls. Number of ways in which we can choose 10 balls from these 3 jars?'. The instructor then begins to solve it by defining variables: g for green, b for blue, and r for red. He sets up the equation g + b + r = 10, with the constraints 0 ≤ g ≤ 6, 0 ≤ b ≤ 6, and 0 ≤ r ≤ 5. He explains that this is a problem of finding the number of non-negative integer solutions to the equation with constraints. He then proceeds to calculate the total number of solutions without constraints (12 choose 10) and subtracts the invalid cases where the constraints are violated, such as g=7,8,9,10, b=7,8,9,10, and r=6,7,8,9,10. The final answer is shown as 12C10 = 66.

  3. 5:00 – 5:46 05:00-05:46

    The video concludes with a black screen featuring a large orange rectangle with the text 'THANKS FOR WATCHING' in white. The text is centered on the screen, and the video ends on this frame. This is a standard closing screen for the educational content.

The video provides a clear, step-by-step explanation of a combinatorics problem. It starts by establishing the context of permutations and combinations, then presents a specific problem involving selecting balls from jars. The core of the lesson is the application of the stars and bars method to find the number of non-negative integer solutions to an equation, with a focus on handling upper bounds by subtracting invalid cases. The instructor uses a combination of on-screen text, diagrams, and verbal explanation to guide the viewer through the logical process, culminating in the final answer of 66 ways.

Loading lesson…