Question

Write down all possible subsets of each of the following sets: Total number of the subset of any given set = 2ⁿ 

(i) {a} 

(ii) {0,1} 

(iii) {a,b,c} 

(iv) {1,{1}} 

(v) {ϕ}

Answer 1

(i) Subsets of given set are {a}, ϕ. 

(ii) Subsets of given set are {0},{1},{0,1},ϕ. 

(iii) Subsets of given set are {a},{b},{c},{a,b},{b,c},{a,c},{a,b,c},ϕ. 

(iv) Subsets of given set are {1},{{1}},{1,{1}},ϕ. 

(v) Subsets of given set are{ϕ},ϕ.