Basic Examples (2) 

Get all the subsets of a List of characters, paired with their complements:

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Take a List of three characters and get all the one-element subsets thereof and their complements:

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Scope (4) 

Get all subsets from a List of five characters with at most two elements, along with their complements:

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Take a List of five characters and get all subsets with between two and three elements and their complements:

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Get the first three two-element subsets and complements from a list with six elements:

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Get the seventh two-element subset and complements of a list with six elements:

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Applications (2) 

Find and show conditions under which each expression in a List will have a value greater than that of any other expression in the list:

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Do similarly for the lowest value of any expression in the List:

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Neat Examples (1) 

A certain classifier predicts the probabilities that a person will be in each of three possible classes. A misclassification results in a utility of –1, except when a person is really in the first class but is misclassified as being a member of the second class. This latter case results in a utility of –u, where u is some non-negative number. For each value of u, find and show the set of classifier probabilities {p₁,(1–p₁)p₂,1–(p₁+(1–p₁)p₂)} that result in each prediction being the one that maximizes expected utility:

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