Welcome guest
You're not logged in.
244 users online, thereof 0 logged in

Permutations, Combinations and Variations

The most common combinatorial operations are permutations, combinations and variations. Loosely speaking, and before we define these three operations more rigidly, permutations are (finite or infinite) arrangements of objects. Here, the order of the objects is important. Combinations are the different ways to pick a finite number of objects out of another finite number of objects. Unlike for permutations, in combinations, the order of objects picked usually does not play any role. A combination, in which order does play a role, is called a variation.

Examples of Permutations

Examples of Combinations

Examples of Variations

| | | | created: 2019-09-10 19:41:47 | modified: 2019-09-10 20:01:49 | by: bookofproofs

1.Definition: Permutations

2.Theorem: Approximation of Factorials Using the Stirling Formula

3.Proposition: Factorial

4.Definition: Combinations

Edit or AddNotationAxiomatic Method

This work was contributed under CC BY-SA 3.0 by:

This work is a derivative of:


Bibliography (further reading)