what is difference between permutation and combination? In Hindi
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- Опубликовано: 30 сен 2024
- Permutation and combination are two concepts in mathematics that describe different ways of arranging elements. The main difference between permutation and combination is the order of the elements.
A permutation is an ordered arrangement of elements. For example, the permutations of the set {1, 2, 3} are (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 2, 1). In a permutation, the order of the elements matters.
A combination, on the other hand, is an unordered arrangement of elements. For example, the combinations of the set {1, 2, 3} taken 2 at a time are {1, 2}, {1, 3}, and {2, 3}. In a combination, the order of the elements does not matter.
In other words, a permutation is a specific arrangement of items, while a combination is a group of items, regardless of the order in which they are arranged. Both permutation and combination are important concepts in combinatorics and have numerous applications in various fields of mathematics and science.
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