Question: Is concatenation a binary operation on the following sets? As an example of this operation, the concatenation of strings of letters gold and fish

Is concatenation a binary operation on the following sets? As an example

Is concatenation a binary operation on the following sets? As an example of this operation, the concatenation of strings of letters "gold" and "fish" is the string "goldfish". 1. the set S of finite strings of English symbols. 2. the set W of English words (say, the words which appear in the Oxford English Dictionary).

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