Interactive Demo

Combinatorics Visualizer

Combinatorics Visualizer is a free, interactive learning demo from the Precalculus course on Lykke. It helps you build intuition for Permutations and combinations, Addition and multiplication rules, Discrete probability distributions, Expected value. Play with it directly in your browser — it features 3 sliders and 2 buttons. This demo lives in the “Probability and Combinatorics” section of the course.

Preview of the Combinatorics Visualizer interactive demo
Preview of Combinatorics Visualizer — play the live version below.
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How to use this demo

  1. Drag the “Total Items (n): 5”, “Sample Size (r): 3”, “Mode” sliders to change the inputs and watch the result update live.
  2. Use the “Permutations”, “Combinations” buttons to trigger actions or reset the demo.
  3. Experiment freely — there's nothing to break, and every change is reversible.

What you'll explore

Frequently asked questions

What does the Combinatorics Visualizer demo do?

Explores counting methods and the rules of probability for compound events and discrete random variables. Combinatorics Visualizer turns that idea into something you can manipulate directly and watch respond.

What Precalculus concept does Combinatorics Visualizer teach?

Explores counting methods and the rules of probability for compound events and discrete random variables. It focuses on Permutations and combinations, Addition and multiplication rules, Discrete probability distributions, Expected value from the “Probability and Combinatorics” section.

What can I control in Combinatorics Visualizer?

The “Total Items (n): 5”, “Sample Size (r): 3”, “Mode” sliders change the key inputs; the “Permutations”, “Combinations” buttons run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.

How does Combinatorics Visualizer fit into the Precalculus course?

The Client Challenge Precalculus course is a comprehensive curriculum designed to bridge the gap between high school algebra and college-level calculus. It covers ten core units ranging from composite functions and trig… This demo is the interactive piece for the “Probability and Combinatorics” section. Open the full Precalculus course wiki at https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37 for notes, flashcards, quizzes and the other demos.

What will I understand better after using Combinatorics Visualizer?

You'll build intuition for Permutations and combinations, Addition and multiplication rules, Discrete probability distributions, Expected value — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on Precalculus alone.

From the Precalculus course

This interactive demo is part of the Probability and Combinatorics section. Explore the full Precalculus course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.

Open the Precalculus course →