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NCERT Class XI Mathematics - Sets - Solutions
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Question : 16 of 73
Marks:
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Write down all the subsets of the following sets (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 ∴ Subsets of given set are ϕ, {a}. (ii) Number of elements in given set = 2 Number of subsets of given set = = 4 ∴ Subsets of given set are ϕ, {a}, {b}, {a, b}. (iii) Number of elements in given set = 3 Number of subsets of given set = = 8 ∴ 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 = = 1 ∴ Subset of given set is ϕ.
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