Understanding Permutation Of Unsur From N Unsur
Understanding Permutation of Unsur from N Unsur
Permutation is the act of rearranging or rearranging the order of a set of elements. It is also known as an arrangement of objects and is a common topic in mathematics. In this article, we will discuss the permutation of r elements from n elements.
Permutations of r elements from n elements can be defined as the number of different arrangements for r elements from a set of n elements. For example, if we have 4 elements A, B, C, D and we want to arrange them in order, the permutation of 4 elements from 4 elements is 24. This is because there are 24 different arrangements of the 4 elements: (A, B, C, D), (A, B, D, C), (A, C, B, D), (A, C, D, B), (A, D, B, C), (A, D, C, B), (B, A, C, D), (B, A, D, C), (B, C, A, D), (B, C, D, A), (B, D, A, C), (B, D, C, A), (C, A, B, D), (C, A, D, B), (C, B, A, D), (C, B, D, A), (C, D, A, B), (C, D, B, A), (D, A, B, C), (D, A, C, B), (D, B, A, C), (D, B, C, A), (D, C, A, B), and (D, C, B, A).
Formula for Permutation of r Unsur from n Unsur
The formula for the permutation of r elements from n elements is the factorial of n divided by the factorial of (n-r). This can be written as:
P(n,r) = n! / (n-r)!
Examples of Permutation of r Unsur from n Unsur
Let us take a look at some examples of permutation of r elements from n elements.
Example 1:
Find the permutation of 4 elements from 8 elements.
Solution: In this case, n = 8 and r = 4. Therefore, the permutation of 4 elements from 8 elements is calculated using the formula:
P(8,4) = 8! / (8-4)! = 8! / 4! = 40320 / 24 = 1680
Example 2:
Find the permutation of 3 elements from 10 elements.
Solution: In this case, n = 10 and r = 3. Therefore, the permutation of 3 elements from 10 elements is calculated using the formula:
P(10,3) = 10! / (10-3)! = 10! / 7! = 3628800 / 5040 = 720
Conclusion
In conclusion, we can say that permutation of r elements from n elements is the number of different arrangements for r elements from a set of n elements. The formula for the permutation of r elements from n elements is the factorial of n divided by the factorial of (n-r). We have discussed two examples of permutation of r elements from n elements and have seen that the permutation of 4 elements from 8 elements is 1680 and the permutation of 3 elements from 10 elements is 720.
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