If S = {Φ, {a}, {b}, {a, b}, {b, a}, {a, b, c}, {c, a, b}}, then the cardinality of S is 5.Group startsTrue or FalseTrue, unselectedFalse, unselected
Question
If S = {Φ, {a}, {b}, {a, b}, {b, a}, {a, b, c}, {c, a, b}}, then the cardinality of S is 5.
Group starts
- True
- False
Solution
False. The cardinality of set S is 7. This is because the cardinality of a set is the number of elements in the set. In this case, S has 7 elements: Φ, {a}, {b}, {a, b}, {b, a}, {a, b, c}, {c, a, b}. Note that {a, b} and {b, a} are considered the same set because in set theory, the order of elements does not matter. However, they are listed as separate elements in set S, so they are counted separately.
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