Visual Combinatorics helps students, teachers, parents, and lifelong learners grasp counting ideas by seeing them first and calculating second. No sign-up, no paywall—just clear visuals that build intuition for selections and arrangements before introducing formulas. The goal is simple: replace “memorize every formula” with “understand the structure, then compute.”
Who We Are
visualcombinatorics.com is owned by and is the brainchild of Sonali Khandelwal, and it is developed and maintained by
Softusvista. Sonali holds an MBA (Finance and Marketing) and has hands-on experience in accounting, reconciliations, and operations, along with volunteer service as an IRS-certified tax preparer—bringing rigor, accuracy, and a love for numbers to every product decision.
Her goal was to simplify how students, educators, and professionals understand and apply permutation and combination concepts.
The calculator transforms abstract formulas like nPr and nCr into interactive, step-by-step visual explanations —
helping users grasp arrangements, selections, and probability-based problems with ease and confidence.
Sonali believes that mathematical reasoning becomes meaningful when it’s both visual and intuitive.
Under her guidance, visualcombinatorics.com combines accuracy, usability, and educational clarity —
ensuring every calculation is not just correct, but also deeply understood.
This commitment to transparency and precision continues to shape the platform’s design, logic, and user experience.
How the Idea Started
After launching visual-first foundations for
fractions,
averages, and
percentages—and extending the approach to
LCM and HCF and
trigonometry—feedback from learners and teachers encouraged Sonali to tackle combinatorics. Many students find “counting” abstract because there are many cases, constraints, and exceptions. Visual Combinatorics was conceptualized to make choices and arrangements tangible through step-by-step visuals that explain why methods work before formalizing how to apply them.
What Makes This Calculator Different (Our USP)
- One consistent visual language: slot models, decision trees, grids, and region diagrams use a unified style so learners don’t have to switch “visual systems” between topics.
- From basics to advanced: factorials, permutations and combinations (with and without repetition), binomial and multinomial coefficients, distributions of identical objects into distinct boxes, circular arrangements, derangements, and inclusion–exclusion.
- Concept first, steps next: every solution starts with a picture of the sample space or construction process, then translates into a formula—building durable intuition.
- Teacher-friendly features: projector-ready steps, minimal jargon, and clearly separated cases to reduce common misconceptions.
- Parent-friendly guidance: plain-English explanations and checkpoints that help coach without needing specialized background.
- Learner-first design: lightweight, fast, and distraction-free so attention stays on reasoning, not UI.
Our “Visuals” Philosophy
Learners should see counting structure, not just memorize formulas. Visual Combinatorics emphasizes slot and tree diagrams to expose sequences of choices, grids and region maps to separate mutually exclusive cases, stars-and-bars for “identical objects into boxes,” Pascal’s triangle views for binomial patterns, and inclusion–exclusion overlays that show overlaps instead of hiding them in symbols.
Permutation Calculators
Combination Calculators
Who Should Use This Calculator?
- Students: build intuition, reduce memorization load, and move from pictures to procedures with less anxiety.
- Teachers: demonstrate methods consistently, scaffold casework, and save prep time.
- Parents and tutors: support homework with trusted visuals and step-wise explanations.
- Test prep learners: strengthen core understanding for board exams and competitive tests.
Free, Private, and Accessible
- 100 percent free to use: no registration and no sign-in.
- Works everywhere: mobile, tablet, laptop, and desktop across screen sizes.
- Privacy-respecting: learning-first design with no intrusive hurdles.
Built by an Experienced Team
The website is developed and maintained by Softusvista, a team with over a decade of experience building user-centric calculators, data tools, and visual learning experiences.
Explore selected work in the Softusvista Portfolio.
Our complete suite of Visual Tools
Explore our visual learning tools:
Visual Fraction Calculator,
Visual Average Calculator,
Visual Percentage Calculator,
LCM and HCF Calculator,
Visual Combinatorics,
Visual EMI Calculator,
LineGraphMaker,
PieChartMaker, and
BarGraphMaker.
Why Visual Combinatorics Should Be Your Go-To
- Evidence-based pedagogy: consistent visuals reduce cognitive load and accelerate retention.
- Casework without chaos: clear partitions of the sample space prevent double-counting and missed cases.
- Broad coverage: from foundational permutations and combinations to distributions, circular arrangements, and inclusion–exclusion.
- Classroom-ready: fast, clean, projector-friendly diagrams that work on any device.
- Trustworthy lineage: built by a team with a long track record of reliable public tools used worldwide.
- Free and barrier-free: no accounts, no friction—just learning.
Impact
These tools help learners connect intuitive pictures with symbolic formulas and translate understanding into better performance in school and entrance exams. Teachers report fewer mistakes around “with vs without replacement,” order sensitivity, and overlapping cases when lessons start visually.
Our Commitment
We will keep expanding topics, refining visuals, and improving explanations—guided by classroom realities and educator feedback—so students, parents, and teachers always have a dependable, visual-first companion for combinatorics and beyond.
Contact Us
It is easy to reach us. Use the Contact form to send feedback or feature requests. For more details, visit
Privacy Policy,
Terms of Use, and
Disclaimer. You may also return to the
Home page.