Permutations and Combinations — Class 11 CBSE Mathematics revision notes
A 3-page visual revision sheet for Permutations and Combinations, written for Class 11 CBSE Mathematics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
What this Permutations and Combinations sheet covers
- The fundamental principle of counting
- Factorial notation
- n factorial: the product down to 1
- by definition
- one factorial built from the next smaller one
- Permutations: arrangements where order matters
- The permutation formula
- r objects chosen from n, order matters
- all n objects arranged
- Combinations: selections where order doesn't matter
- The combination formula
- r objects chosen from n, order ignored
- the link between the two
- symmetry: choosing r is the same count as choosing what's left out
- Permutation or combination
- Choosing 4 of 6, two different questions
- Repetition and objects that aren't all distinct
- Arranging letters with repeats
- Symbols
- Traps that cost marks
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans Mathematics chapter by chapter against your real exam dates and free hours, and when the plan reaches Permutations and Combinations the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.