Permutation vs Combination Last Updated : 23 Jul, 2025 Comments Improve Suggest changes Like Article Like Report The key differences between Permutation and Combination are as follows:FeaturePermutationCombinationDefinitionArrangement of objects in a specific order.Selection of objects without regard to order.Formula\text{P(n, r)} = \frac{n!}{(n - r)!}\text{C(n, r)} = \frac{n!}{r!(n - r)!}OrderOrder is important.Oder does not hold any relevance. ExampleArranging 3 books in a shelf.Choosing 3 books from a pile.Related Articles:Permutation and combinationPermutation FormulasCombination FormulasDifference Between Permutation and Combination Comment More infoAdvertise with us Next Article Combination Reaction Y yashkumar0457 Follow Improve Article Tags : Mathematics School Learning Math-Concepts Maths-Difference-Between Similar Reads Permutations and Combinations Permutation and Combination are the most fundamental concepts in mathematics related to picking items from a group or set. Permutation is arranging items considering the order of selection from a certain group.Combination is selecting items without considering order.For example, in the below diagram 12 min read Permutations and Combinations Permutation and Combination are the most fundamental concepts in mathematics related to picking items from a group or set. Permutation is arranging items considering the order of selection from a certain group.Combination is selecting items without considering order.For example, in the below diagram 12 min read Permutations and Combinations Permutation and Combination are the most fundamental concepts in mathematics related to picking items from a group or set. Permutation is arranging items considering the order of selection from a certain group.Combination is selecting items without considering order.For example, in the below diagram 12 min read Combination Reaction Combination Reaction is a type of chemical reaction that occurs when two or more substances combine to form a new substance without any separate byproducts, due to that, it is also called an Addition Reaction or Synthesis Reaction. Combination Reaction involves the synthesis of a single compound fro 7 min read Permutations and Combinations of a Multiset When dealing with a multiset, the principles of permutations and combinations changes and formula for these also change. Unlike traditional sets, multisets allow for duplications, which significantly impacts the way we calculate arrangements and selections.Imagine you are organizing a gift bag for a 8 min read Calculate Combinations and Permutations in R Combinatorics is an important aspect of data analysis and statistics. It is used to solve many aptitude-based and real-life problems. While permutations do take into account the order, the combinations are independent of it. Therefore, permutation is considered to be an ordered combination. R langua 5 min read Like