Write down all the possible proper subsets for each of the following. 1 {a, b, c, d} 2 {x} 3 φ 4 {5, 10}
Question
Write down all the possible proper subsets for each of the following.
{a, b, c, d}{x}φ{5, 10}
Solution
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The possible proper subsets of {a, b, c, d} are: {}, {a}, {b}, {c}, {d}, {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}, {a, b, c}, {a, b, d}, {a, c, d}, {b, c, d}.
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The possible proper subset of {x} is: {}.
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The set φ is an empty set and it does not have any proper subset.
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The possible proper subsets of {5, 10} are: {}, {5}, {10}.
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