please urgent ,,Write the proper subsets of the set { 2,3,5,7}
Answers
Answer:
{}, {2}, {3}, {5}, {7}, {2,3}, {2,5}, {2,7}, {3,5}, {3,7}, {5,7}, {2,3,5}, {2,3,7}, {2,5,7} and {3,5,7}
Step-by-step explanation:
Definition
The proper subset of the set can be stated as all the elements of the set are not contain in it.
example: if A = { 1 , 2, 4 } and B = { 1 , 4 }. Here B is a subset of A because the element 2 is not contained in the set B. therefore, B is the proper subset of A.
The number of total subset is 2^{n} where 'n' is the the number of elements in the set.
Given
The set is {2,3,5,7}.
Solution:
The number of total subsets are 2^{4} that is equal to 16.
Take all the possible sets that is totally contained in the given set.
{}, {2}, {3}, {5}, {7}, {2,3}, {2,5}, {2,7}, {3,5}, {3,7}, {5,7}, {2,3,5}, {2,3,7}, {2,5,7} and {3,5,7}
The set {} is known as the empty set and it is a trivial set.
There are total proper subsets are 15 whereas the total subset is 16 because the subset {2,3,5,7} is the sixteenth subset of the set {2,3,5,7} that is also known as trivial subset but the set {2,3,5,7} is not a proper subset because it contains all the elements of the given set.
I hope this answer will help you.
Answer:
{2,3,5,7,11} sub sets answers