Math & Science100% Free Tool

Free Permutations & Combinations Calculator (nPr & nCr) Online

Calculate combinations nCr (order does not matter) and permutations nPr (order matters) with full factorials and step-by-step breakdown. — 100% free online utility, zero sign-up, zero paywalls, and private client-side processing.

100% Client-Side0ms Latency
Algebraic & Polynomial Solverax² + bx + c = 0
Roots of Equationx₁ = 3.000, x₂ = 2.000
Discriminant (Δ)1
Parabola Vertex(2.50, -0.25)
Axis of Symmetryx = 2.50

How It Works

1

Enter Total Items (n)

Input the total number of objects in the set.

2

Enter Chosen Items (r)

Input the number of items being selected (r ≤ n).

3

Choose Ordering Constraint

Select Permutation (Order Matters) or Combination (Order Does Not Matter).

4

Review Factorial Solution

View exact computed integer result and reduction steps.

Frequently Asked Questions

Permutations (nPr = n! / (n - r)!) apply when order matters (e.g. race finishes, passwords). Combinations (nCr = n! / (r! × (n - r)!)) apply when order is irrelevant (e.g. lottery picks, card hands).

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