Question

What will be the number of proper subsets in A={1, 2} ?? Also write the subsets please??






Note: I m confused here..No rubbish_ answers please ❌​

Answer 1

Step-by-step explanation:

Before I go through the answer I’ll explain the core elements necessary to solve your problem.

Proper Subset:

A proper subset is a subset of some set A that does not equal A. That is, there is some member of a set A that is not in a set B but all members of a set B are in a set A.

Powet Set:

The power set is a special set that contains all the subsets of a set A.

Example:

G={1,2}

P(G)={∅,{1},{2},{1,2}}

The cardinality of this example powerset is 4.

|P(G)|=4=2|G|

Your Original Question:

A={1,2,3,4,5,6}

n=|A|=6

|P(A)|=2n=26=64

However, you only want to know the number of proper subsets, the power set contains all valid subsets. There is only 1 subset of A we don’t want to use and that’s the one that’s equal to itself.

64−1=63

Set A has 63 proper subsets.

@By Samu__❤__

Right answer only don't worry