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Gear300
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Would the cardinality of a set S = {a, b, {c, d}} be 5?
Gear300 said:Would the cardinality of a set S = {a, b, {c, d}} be 5?
some_dude said:No, 3. The elements of the set are a, b, and {c,d}.
Cardinality refers to the number of elements in a set. It can also be thought of as the size or count of the set.
The cardinality of a set is determined by counting the number of distinct elements in the set. In other words, you count how many different objects are in the set.
No, the cardinality of a set is not affected by the order of its elements. As long as the set contains the same number of distinct elements, the cardinality will remain the same.
The inclusion of a set within another set does not affect the cardinality of the larger set. The cardinality is still determined by the number of distinct elements in the set, regardless of any subsets within it.
No, the cardinality of a set is always a whole number. It represents the count of distinct elements, which cannot be a fraction or negative number.