The addition operation must be described this way because two initial elements are being combined to form a new element. The sum is going to be a new element that is unique to the initial ones.
For example, if you combine the sets of {2, 4, 6} and {1, 3, 5}, you would have {1, 2, 3, 4, 5, 6}. The two initial sets do not have anything in common. There would be a total of 6 elements. These sets are non-intersecting.
Oppositely, if you were to combine {Apple, tomato, pepper} and {Banana, Apple, Pear}, you would have {Apple, tomato, pepper, banana, pear}. The total number of elements here would be five. These sets are intersecting, which could be misleading. If only the final set is displayed, one would not know that the "apple" element repeats.
The total number of elements will follow similar calculation procedures, except you will only account for one of each element. For example, "apple" will not repeat in the final set.
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