What are Permutations?
A permutation is a concept that means to arrange a given set of elements in a particular order. Here the sequence of arrangement is important. A simple way to understand permutation is if we have some objects with us and we want to arrange them (It doesn’t matter which object you choose first or last), then in how many ways you can arrange them. Let’s take an example,
If three English alphabets are taken – p, q, and r and we want to arrange them, then these can be arranged like (p, q, r), (p, r, q), (q, p, r), (q, r, p), (r, p, q) and (r, q, p). Only these six arrangements are possible. Now the word arrangement here is called a Permutation, i.e. only these six permutations are possible.
Formula for finding the number of permutations
If ‘n’ elements are given, out of which we want to arrange ‘r’ elements, then the number of possible arrangements or permutations is given by,
nrP = n! / (n – r)!
Difference between Permutations and Combinations
Difference between Permutations and Combinations: Probability is concerned with the chance or possibility that an event may occur or not occur if there are ‘n’ possibilities. Put simply, probability tells us the percentage of happening of an event. Probability can be expressed as a number from 0 to 1 or as a percentage.
In this article, we will discuss the difference between Permutations and Combinations, with their definition, and formulas.
Table of Content
- What are Permutations?
- Formula for finding the number of permutations
- What are Combinations?
- Formula to find the number of combinations
- Difference between Permutations and Combinations
- Sample Problems – Difference between Permutations and Combinations
- FAQs on Difference between Permutations and Combinations
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