1. Bat, ball, gloves, wickets, pads
2. Bag, Text Books, Note Books, Pen, Pencil, Eraser, Sharpener, Lunch Box, Water Bottle
3. a, e, i. o, u
All these examples are the collections of items/ objects. Each Example has
something is common. In First Example we see things of a cricket kit, In Second
Example things that are carried to school. Third example vowels. These are well
defined collection of objects or ideas.
A well - defined collection of objects or ideas is known as a set.
The meaning of the phrase "Well - defined" is
(i) All the objects in the set should have a common feature or property.
(ii) It should be possible to decide whether any given object belongs to the set or
not consider the example.
"The collection of 5 good books in the school library".
As the words "good books" are subjective in nature each student have their own
collection of 5 books. A students who is interested in comics picks, comics books.
A student who is interested in maths may pick 5 Maths related books. Similarly a
Science student picks 5 Science related books.
Therefore there is no uniformity in the collection by different students. Hence
"the collection of 5 good books in the school library" is not a well defined set.
In the above example, it is not possible to decide whether a given book belongs
or does not belong to the collection of objects.
If the same example is considered as "The collection of new text books of X
Class" The Collection is considered as a set.
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