noun. Of a set, the number of elements it contains.

noun. The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many.

noun. (mathematics) the number of elements in a set or group (considered as a property of that grouping)

"For example, it certainly depends on whether your set of trials is countably infinite or uncountably infinite (in other words the cardinality of your set of trials)."

number  

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