Permutations and Combinations Mind Map for Exam Revision
See how order and selection split into formulas, cases and worked examples. Then build your own map from your class notes or PDF.
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CogniGuide at a glance
- What you get
- Interactive mind maps of the main ideas and how they connect. Free: overview maps (detailed maps on your first 3 creations). Plus: detailed maps with supporting concepts.
- Exports
- Your first PDF or PNG export is free; Plus exports anytime.
- Price
- Free plan: 5 creations a week, up to 3 a day. Plus: $9.99/month or $99.90/year (USD; local prices at checkout).
- Sign-up
- A free account is required before you create anything (Google or email). No credit card.
- What you can upload
- PDF, Word (.docx), PowerPoint (.pptx), plain text or Markdown, and images (PNG, JPG, WebP, GIF), or type a topic. One file per creation on the free plan; several at once on Plus.
How it compares: vs Knowt · vs Quizlet · vs NotebookLM · vs Mapify
Why a Study Map Helps With Counting
Permutations and combinations are easy to mix up. A map keeps the rules, formulas and examples in one place.
Build From Your Own Notes
Upload your lecture slides, textbook PDF or handwritten notes, and get a map of your own topic.
Compare Order and Selection
Branches separate arrangements where order matters from groups where it does not, with formulas beside each.
Quiz Yourself From the Map
Turn the finished map into a quiz to test nPr, nCr and when to use each one.
How to Make a Permutations Map
Start with your material or a topic, then let the AI organise it into branches you can expand.
- 1
Add Your Notes
Upload a PDF, Word file, slides or image, or type the topic permutations and combinations.
- 2
AI Builds the Map
The AI creates branches for definitions, formulas, cases and worked examples.
- 3
Study, Expand and Quiz
Expand weak branches, edit wording, export the map or turn it into a quiz.
Permutations and Combinations Mind Map Overview
A permutations and combinations mind map shows how counting problems split into two main types. Permutations count ordered arrangements, where the order of items matters, so nPr = n!/(n-r)!. Combinations count selections where order does not matter, so nCr = n!/(r!(n-r)!). A clear map links each type to its formula, its typical question wording and a worked example.
- Permutations: ordered arrangements, nPr, seating and password questions
- Combinations: unordered selections, nCr, committee and team questions
- Factorials: n!, the building block of both formulas
- Special cases: repetition, circular arrangements and restricted positions
- Worked examples: step-by-step solutions for each case
Use the map to check which formula fits a question before you calculate. To make a map from your own textbook or lecture notes, try CogniGuide.
Permutations and Combinations Questions
Answers on the core ideas and on using CogniGuide for this topic.
What is the difference between a permutation and a combination?
A permutation counts arrangements where order matters, such as ranking three runners. A combination counts selections where order does not matter, such as choosing three team members from a group. Asking whether the order changes the outcome is the quickest way to decide.
When do you use nPr and nCr?
Use nPr when you arrange r items out of n in a specific order. Use nCr when you only choose r items from n and the order is irrelevant. Both start from the same n objects, but nPr gives a larger count because each group can be ordered in several ways.
Which files can I use to make a permutations mind map?
You can upload a PDF, Word (DOCX) or PowerPoint (PPTX) file, a text or Markdown file, or an image of your notes. You can also type the topic directly and the AI will build the map from it.
Can I turn a permutations map into a quiz with CogniGuide?
Yes. Free accounts can create 5 maps a week. Once your map is built, you can turn it into a quiz to test yourself on formulas and cases, and the same notes can become flashcards.