Pigeonhole Principle

Calculate Pigeonhole Principle instantly with the exact formula and a worked example.

Pigeonhole Principle

Objectspcs
Boxespcs
Guaranteed in one box
4pcs
Calculate Pigeonhole Principle instantly with the exact formula and a worked example.
Objects needed to guarantee 1 more
13
Average per box
3.333

More about: Pigeonhole Principle

What it calculates

The “Pigeonhole Principle” calculator computes Guaranteed in one box in pcs from 2 parameters: objects (pcs), boxes (pcs).

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters Objects = 10 pcs, Boxes = 3 pcs the result is 4 pcs.

How to use

  1. Enter objects and boxes — each field above is adjustable with a slider.
  2. Guaranteed in one box (pcs) is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Pigeonhole Principle calculated?
The Pigeonhole Principle calculator computes Guaranteed in one box (in pcs) from objects, boxes. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Pigeonhole Principle calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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