NCERT Class XI Mathematics - Sets - Solutions
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Question : 16
Total: 73
Write down all the subsets of the following sets
(i) {a} (ii) {a, b} (iii) {1, 2, 3} (iv) ϕ
(i) {a} (ii) {a, b} (iii) {1, 2, 3} (iv) ϕ
Solution:
(i) Number of elements in given set = 1
Number of subsets of given set =2 1
∴ Subsets of given set are ϕ, {a}.
(ii) Number of elements in given set = 2
Number of subsets of given set =2 2
∴ Subsets of given set are ϕ, {a}, {b}, {a, b}.
(iii) Number of elements in given set = 3
Number of subsets of given set =2 3
∴ Subsets of given set are ϕ, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}, {1, 2, 3}.
(iv) Number of elements in given set = 0
Number of subsets of given set =2 0
∴ Subset of given set is ϕ.
Number of subsets of given set =
∴ Subsets of given set are ϕ, {a}.
(ii) Number of elements in given set = 2
Number of subsets of given set =
∴ Subsets of given set are ϕ, {a}, {b}, {a, b}.
(iii) Number of elements in given set = 3
Number of subsets of given set =
∴ Subsets of given set are ϕ, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}, {1, 2, 3}.
(iv) Number of elements in given set = 0
Number of subsets of given set =
∴ Subset of given set is ϕ.
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