Finite set:-
In mathematics, a finite set is a set that
has a finite number of elements.
s a finite set with five elements. The number
of elements of a finite set is a natural
number (a non-negative integer) and is called the cardinality of the set. A set that is not finite
is called infinite. For
example, the set of all positive integers is infinite :
Finite sets are
particularly important in combinatorics, the mathematical study of counting. Many arguments involving
finite sets rely on the pigeonhole
principle, which states that there cannot exist an injective function from a larger finite set to a smaller
finite set.
s a finite set with five elements. The number
of elements of a finite set is a natural
number (a non-negative integer) and is called the cardinality of the set. A set that is not finite
is called infinite. For
example, the set of all positive integers is infinite :Finite sets are
particularly important in combinatorics, the mathematical study of counting. Many arguments involving
finite sets rely on the pigeonhole
principle, which states that there cannot exist an injective function from a larger finite set to a smaller
finite set.
Example. {2,4,6,8} this is a finite set because it have finite number of element....
A= {1,2,3,4,5,6,7,8,9} it is also a finite set....
In other way.
there are more example of finite set like group of class 12 students
group of all real number define as R={x:x is a number on real line}
if u like this then give us feedback and follow ..........
In other way.
In a finite set the element can be listed if it has a limited i.e. countable by natural number 1, 2, 3, ……… and the process of listing terminates at a certain natural number N.
The number of distinct elements counted in a finite set S is denoted by n(S). The number of elements of a finite set A is called the order or cardinal number of a set A and is symbolically denoted by n(A). Thus, if the set A be that of the English alphabets, then n(A) = 26: For, it contains 26 elements in it. Again if the set A be the vowels of the English alphabets i.e. A = {a, e, i, o, u} then n(A) = 5.there are more example of finite set like group of class 12 students
group of all real number define as R={x:x is a number on real line}
if u like this then give us feedback and follow ..........
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