Question

If set A has n elements then the total number of subset of A is...........

Answer 1

answer will be 2 to power n where n is equal to number of elements

Answer 2

The  total number of subsets of a set having n elemts is $2^{n}$

Step-by-step explanation:

A set is defined as a well defined collection of  distinct objects.

A set is considered as an object in its own right.

Elements of a set are always enclosed in parenthesis.

Example {2,5,7} - This is a set

(2,6,3) - this represents coordinate of a point in 3D space.

Subset: A set A is a subset of  another set B if all the elements of A are present in B.

A subset relationship is denoted by A⊂B.

for example , A = {1,2,3,4,5}

and B = {1,2,3,4,5,6,7,8,9}

all the elements of A are present in B

hence A is a subset of B.

A set with n elements has  $2^{n}$ subsets.

example:

A = {1,2,3}

subsets of A = {}, {1},{2},{3},{2,3},{1,3},{1,2,3},{1,2}

total 8 subsets = $2^{3}$

A null set is a subset to every set.