CBSE · Class 11 · Mathematics · Chapter 6

Permutations and Combinations

Fundamental counting principle and combinations.

6 lessons 70 min
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Lessons in this chapter

  1. 1Counting Choices in StagesCount arrangements and choices by organising a task into stages and separate cases.
  2. 2Permutations of Distinct ObjectsDerive permutation counts from ordered positions and use factorials to write them efficiently.
  3. 3Repeated Objects and Restricted ArrangementsAdjust arrangement counts for identical objects, fixed positions and objects that must stay together.
  4. 4Choosing Without Regard to OrderCount selections by removing the internal orders of each chosen group and connect the resulting identities.
  5. 5Combining Counting MethodsChoose and combine methods for group conditions, dictionary order, repeated digits and separated seating.
  6. 6Chapter Summary and PracticeConnect all counting methods, justify their conditions and practise choosing a strategy for mixed problems.