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The associative property is one that some operations defined over some sets may possess. If the operation is denoted by ~ then the associative property implies that
(A ~ B) ~ C = A ~ (B ~ C) and so, without loss of generality, either expression can be expressed as A ~ B ~ C.
Some common operations, such as subtraction, are not associative over the set of numbers since:
(3 - 2) - 1 = 1 - 1 = 0
while
3 - (2 - 1) = 3 - 1 = 2
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