Some writers insist that include be used only when it is followed by a partial list of the contend of the reference of the subject. This restriction is too strong. The use of comprise or consist of will avoid ambiguity when a listing is meant to be exhaustive.
Make sure you name all the constituent parts when using comprise or compose. The word to use when other elements are may also be present is include.
The elements one, two, and three composed the set {1,2,3}.
The set {1,2,3} is comprised of three elements.
The set {1,2,3,4} includes the elements one, two and three.