Difference between Permutations and Combinations

The definitions of permutation and combination are given above and they are defined in detail. Now let’s take a look at the difference between the two,

PermutationsCombinations
  • Permutation means total number of ways in which we can arrange elements in The combination order combination.
  • The combination means a total number of ways in which we can select some elements from a given set of elements.
  • The order in which the elements are placed is very important.
  • The order in which the elements are selected is not important.
  • For example, on tossing three coins, HHT is a different permutation from HTH.
  • In combination HHT is the same as HTH. The order does not matter.
  • Permutation can be made using repetition or without repetition of elements.
  • Combination is not concerned with repetition or without repetition of elements.

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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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What are Permutations?

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What are Combinations?

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Difference between Permutations and Combinations

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Sample Problems – Difference between Permutations and Combinations

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