What Is Permutation With Repetition?

Desember 17, 2022 Posting Komentar

Contoh Soal Perkalian Permutasi Dan Kombinasi — What Is Permutation With Repetition?

What is Permutation with Repetition?

Permutation with repetition or Circular permutation is a type of math problem in which the number of objects selected from a set is fixed and the order of the selection matters. It is also known as circular permutations because the objects are selected in a circular manner. In this type of problem, the number of possible permutations is much larger than in the case of permutation without repetition.

How to Solve Permutation with Repetition?

When solving a permutation with repetition problem, the first step is to determine the number of objects to be selected. Once the number of objects is determined, the next step is to calculate the number of possible permutations. This is done by multiplying the number of objects to be selected, by the number of possible permutations for each object.

Example of Permutation with Repetition Brainly

Let's say you want to select three letters from the word "Brainly". Since there are seven letters in the word, the number of possible permutations will be 7 x 7 x 7 = 343. This means that there are 343 possible permutations of the word "Brainly" when selecting three letters.

Permutation with Repetition Formula

The formula for calculating the number of permutations with repetition is: n^r, where n is the number of objects and r is the number of objects to be selected. For example, if you wanted to select four letters from the word "Brainly", the number of permutations with repetition would be 7⁴ = 2401.

Permutation with Repetition Brainly Examples

To help you better understand permutation with repetition, here are some examples of Brainly permutation with repetition problems:

Select three letters from the word "Brainly". The number of permutations with repetition will be 7³ = 343.
Select four letters from the word "Brainly". The number of permutations with repetition will be 7⁴ = 2401.
Select five letters from the word "Brainly". The number of permutations with repetition will be 7⁵ = 16807.

Advantages of Permutation with Repetition

The main advantage of permutation with repetition is that it can be used to generate a large number of possible permutations from a relatively small set of objects. It is also very useful in finding the number of permutations for a given set of objects, as it eliminates the need for manual counting.

Disadvantages of Permutation with Repetition

The main disadvantage of permutation with repetition is that it can be difficult to understand and visualize. Additionally, it can be time consuming to calculate the number of possible permutations when the number of objects is large.

Conclusion

Permutation with repetition is an important concept in mathematics, as it can be used to generate a large number of possible permutations from a relatively small set of objects. It is also very useful in finding the number of permutations for a given set of objects, as it eliminates the need for manual counting. However, it can be difficult to understand and visualize, and it can be time consuming to calculate the number of possible permutations when the number of objects is large.