give a example of set which is finite or subgroup infinte
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Answer:
Finite and infinite sets are two of the different types of sets. The word ‘Finite’ itself describes that it is countable and the word ‘Infinite’ says it is not finite or uncountable. Here, you will learn about finite and infinite sets, their definition, properties, and other details of these two types of sets along with various examples and questions.
Definition of Finite set
Finite sets are the sets having a finite/countable number of members. Finite sets are also known as countable sets as they can be counted. The process will run out of elements to list if the elements of this set have a finite number of members.
Examples of finite sets:
P = { 0, 3, 6, 9, …, 99}
Q = { a : a is an integer, 1 < a < 10}
A set of all English Alphabets (because it is countable).
Examples of Infinite Sets
A set of all whole numbers, W= {0, 1, 2, 3, 4,…}
A set of all points on a line
The set of all integers
Cardinality of Infinite Sets
The cardinality of a set is n (A) = x, where x is the number of elements of a set A. The cardinality of an infinite set is n (A) = ∞ as the number of elements is unlimited in it.