Question

6. How many subsets are possible from the following sets? Also write the subsets a) A = {7} b) B = { c) C = { a, e, i) d) D = {1, 3, 5, 7}​

Answer 1

Answer:

We know that number of subsets of any set is 2 power 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 {7} are ϕ and {7}.

(ii) The subsets of {c} are ϕ and {c}.

(iii) The subsets of {a,e,i} are ϕ,{a},{e},{i},{a,e},{e,i},{a,i},and{a,e,i}

(iv) The subsets of {1,3,5,7} are {},{{1},{3},{5},{7}},{{1,3},{{1,5},{{1,7}},{3,5},{3,7}},{5,7}},{{1,3,5},{{1,3,7}},{{1,5,7}},{3,5,7}},{{1,3,5,7}}

ϕ or {} is null set.