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    Dynamic Programming, Greedy Algorithms and Optimization Practice Questions for GATE CS

    Solve 0+ Dynamic Programming, Greedy Algorithms and Optimization practice questions for GATE CS with answers and detailed solutions. Free sample questions bel

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    Dynamic Programming, Greedy Algorithms and Optimization Practice Questions for GATE CS

    Solve 0+ Dynamic Programming, Greedy Algorithms and Optimization practice questions for GATE CS with answers and detailed solutions. Free sample questions below.

    Chapter Roadmap: Counting and Combinatorics

    Chapter Roadmap

    Counting & Combinatorics

    School Level Mathematics · Data Science

    1
    Selection Intuition
    Understand when order does not matter.
    You are here
    2
    Core Tool: The Choose Formula
    Count unordered groups without listing them.
    3
    Exam Methods
    Apply the formula to multiple groups, categories, and conditions.
    4
    Constraints & Traps
    Handle "at least", "at most", fixed items, and overcounting.
    5
    Exam Readiness
    Final checklist to choose the correct method quickly.
    By the end: You will count unordered selections from distinct groups, apply multiplication and addition rules correctly, and solve constrained selection problems confidently.

    What is a Combination?

    Concept · Level 1

    What is a Combination?

    In counting problems, most questions ask you to either arrange objects or select objects.

    Selection
    Only who or what is in the group matters.
    Arrangement
    Both the members and their order matter.
    The Swap Test
    Ask: "If I swap two chosen items, does the outcome change?"
    No → Combination   |   Yes → Arrangement
    Example
    Selecting 3 questions out of 5 to answer on a paper: choosing questions 1, 2, 3 is the same as choosing 3, 2, 1. The set of attempted questions is unchanged. This is a combination.

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