A set with the same cardinality as the word "SHARE" must contain 5 distinct elements. The word "SHARE" has 5 unique letters, thus any set with 5 elements, like the set of vowels {A, E, I, O, U}, would match the cardinality.
The question asks for a set with the same cardinality as the word "SHARE". Cardinality in this context refers to the number of elements in a set. The word "SHARE" has 5 unique letters. Therefore, any set that contains 5 distinct elements would have the same cardinality as the word "SHARE". An example could be the set of vowels in the English alphabet, which are {A, E, I, O, U}.
When considering sets in mathematics, a paired data set involves two related sets where each member of one set is matched with a member of the other set, one-to-one. This is not the type of set we are looking for in this question, as the concept of a paired set is unrelated to the cardinality of the word "SHARE".
To reiterate, any set with 5 elements will have the same cardinality as the word "SHARE". This could be a set of numbers, shapes, or any other items that form a distinct group of five.