Question

No of subsets of a set A=(2,3,5,7,11) is ______(. )​

Answer 1

Answer:

25 because of the formula

no....=2^n(a)

Answer 2

Answer:

Step-by-step explanation:

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.