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Definition of Sets

October 26, 2023 | by Bloom Code Studio

As we have already learned in the introduction, set is a well-defined collection of objects or people. Sets can be related to many real-life examples, such as the number of rivers in India, number of colors in a rainbow, etc. 

Example

To understand sets, consider a practical scenario. While going to school from home, Navy decided to note down the names of restaurants which come in between. The list of the restaurants, in the order they came.

The above-mentioned list is a collection of objects. Also, it is well-defined. By well-defined, it is meant that anyone should be able to tell whether the object belongs to the particular collection or not. E. g. a stationary shop can’t come in the category of the restaurants. If the collection of objects is well-defined, it is known as a set.

The objects in a set are referred to as elements of the set. A set can have finite or infinite elements. While coming back from the school, Navy wanted to confirm the list what she had made earlier. This time again, she wrote the list in the order in which restaurants came.

Now, this is a different list. But is a different set? The answer is no. The order of elements has no significance in sets so it is still the same set.

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