Question

Ex. If A = { 1, 3, 4, 7, 8; then write all possible subsets of A.
i.e. P = {1,3}, T = {4,7,8), V = {1, 4,8},
S = {1, 4, 7, 8}
In this way many subsets can be written. Write five more subsets of set A.​

Answer 1

Answer:

answer for the given problem is given

Answer 2

Given,

A={1, 3, 4, 7, 8}

To find,

All the possible subsets of A

Solution,

In the given set A, number of elements(n) = 5

As we know, the number of subsets for a given set with 'n' elements = [tex]2^{n\\ [/tex]

So,

In the given question number of subsets= $2^{5}$ = 32

They are listed below,

Empty subset= {Ф}

Single digit subsets,

{1}, {3}, {4}, {7}, {8}

2 digit subsets,

{1,3}, {1,4}, {1,7}, {1,8},

{3,4}, {3,7}, {3,8},

{4,7},{4,8}

{7,8}

3 digit subsets,

{1,3,4}, {1,3,7}, {1,3,8}, {1,4,7}, {1,4,8}, {1,7,8}

{3,4,7}, {3,4,8}, {3,7,8}

{4,7,8}

4 digit subsets,

{1,3,4,7}, {1,3,4,8}, {1,3,7,8}, {1,4,7,8},

{3,4,7,8}

5 digit subsets,

{1,3,4,7,8}