Question

write the proper subsets of A ={5, 10,11,15}​

Answer 1

Answer:

1The subset of A containing no elements - { }

The subset of A containing one element each - {1} {3} {5}

The subset of A containing two elements each - {1, 3} {1, 5} {3, 5}

The subset of A containing three elements - {1, 3, 5)

Therefore, all possible subsets of A are { }, {1}, {3}, {5}, {1, 3}, {3, 5}, {1, 3, 5}

Therefore, number of all possible subsets of A is 8 which is equal 233.

Proper subsets are = { }, {1}, {3}, {5}, {1, 3}, {3, 5}

Number of proper subsets are 7 = 8 - 1 = 233 - 1

Answer 2

Answer:

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.

Step-by-step explanation:

Proper Subset:

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:

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