Question

If A = {1, 2} then write P(A).​

Answer 1

Step-by-step explanation:

Given:-

The set A = {1, 2}

To find:-

If A = {1, 2} then write P(A).

Solution:-

Given set is A={1,2}

Number of elements in the set A=2

Cardinal number of A=n(A)=2

We know that

The number of possible subsets to a set of "n" elements=2^n

Number of all subsets to the set A=2²=4

They are :∅,{1},{2},{1,2}=A

P(A)={∅,{1},{2},{1,2}}

Answer:-

The set of all subsets to A =P(A)={∅,{1},{2},{1,2}}

Using formulae:-

• If number of elements in the set A is "n" then the total number of all subsets =2^n.
• The number of elements in a set is called its cardinal number of the set .
• The set containing all subsets of a set A is called Power set and it is denoted by P(A).

Answer 2

answer is in attachment