Introduction to also Called Finite Mathematics Elements:
A set that contains countable number of elements is called finite elements in mathematics. The elements in a finite set can be counted using natural numbers like 1, 2, 3, 4 … For example: Set A = {a, b, c, d, e} has 5 elements. So, it is called finite set of elements. Set B = {1, 2, 3, 4……} has infinite set of elements. Let us see about finite mathematics elements in this article.
Worked Examples to also Called Finite Mathematics Elements
Example 1 to also Called Finite Mathematics Elements:
What type of set is given below and mention the number of elements in a set?
A = {a, b, c, d, e, f, g, h, i, j}
Solution:
Step 1:
Given set is A = {a, b, c, d, e, f, g, h, i, j}
Step 2:
Given set A has 10 elements. So, the set A has countable elements.
Step 3:
Hence, the given set A has finite set and 10 number of elements.
Example 2 to also Called Finite Mathematics Elements:
What type of set is given below and mention the number of elements in a set?
B = {21, 22, 23, 24, 25, 26, 27, 28}
Solution:
Step 1:
Given set is B = {21, 22, 23, 24, 25, 26, 27, 28}
Step 2:
Given set B has 8 elements. So, the set A has countable elements.
Step 3:
Hence, the given set B has finite set and 8 numbers of elements.
Example 3 to also Called Finite Mathematics Elements:
What type of set is given below and mention the number of elements in a set?
Z = {54, 55, 56, 57, 58}
Solution:
Step 1:
Given set is Z = {54, 55, 56, 57, 58}
Step 2:
Given set Z has 5 elements. So, the set A has countable elements.
Step 3:
Hence, the given set Z has finite set and 5 numbers of elements.
Example 4 to also Called Finite Mathematics Elements:
What type of set is given below and mention the number of elements in a set?
A = {1, 2, 3, 4, 5, 6……}
Solution:
Step 1:
Given set is A = {1, 2, 3, 4, 5, 6……}
Step 2:
Given set A has uncountable elements.
Step 3:
Hence, the given set A has infinite set and infinite number of elements.
Practice Problems to also Called Finite Mathematics Elements
Problem 1:
What type of set is given below and mention the number of elements in a set?
Z = {t, u, v, w, x, y, z}
Problem 2:
What type of set is given below and mention the number of elements in a set?
A = {3, 4, 5, 6, 7, 8}
Problem 3:
What type of set is given below and mention the number of elements in a set?
S = {51, 52, 53, 54, 55, 56……}
Solutions:
1. Finite set of elements and has 7 elements.
2. Finite set of elements and has 7 elements.
3. Infinite set of elements and it is uncountable.
Mathematics
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