GyanGhar GyanGhar

Class 11 · Math · Chapter 6

Permutations and Combinations

Counting without listing: the fundamental principle (multiply the choices), factorial notation, permutations nPr^nP_r — with repetition and with repeated letters — and combinations nCr^nC_r for selections, linked by nPr=nCr r!^nP_r = {^nC_r}\, r! and the Pascal identity. Arrangement-with-restriction and committee problems make this a guaranteed JEE Main fixture.

8 sections · ~450 min read · Free, no login needed
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Topics in this chapter

  1. 1

    The Fundamental Principle of Counting

    45 min read · Quiz included

  2. 2

    Factorial Notation and Permutations

    50 min read · Quiz included

  3. 3

    Permutations When Objects Are Not All Distinct

    55 min read · Quiz included

  4. 4

    Combinations

    55 min read · Quiz included

  5. 5

    Solved Examples

    90 min read · Quiz included

  6. 6

    JEE Corner — Permutations and Combinations for JEE Main and Advanced

    80 min read · Quiz included

  7. 7

    JEE Main Pattern Practice Questions

    60 min read · Quiz included

  8. 8

    Summary and Quick Revision

    15 min read · Quiz included