Question

2) write the number of subsets of P = {a,b,c}.
3) write all the subsets of the above set​

Answer 1

We know that number of subsets of any set is 2

n

where n is the number of elements in that set.

Every non-empty set has two subsets ϕ and the set itself.

(i) The subsets of {a} are ϕ and {a}.

(ii) The subsets of {a,b} are ϕ,{a},{b},and{a,b}.

(iii) The subsets of {1,2,3} are ϕ,{1},{2},{3},{1,2},{2,3},{1,3},and{1,2,3}

(iv) The only subset of ϕ is ϕ.