Cardinality of a set and practical problems based on sets
Cardinality of a set : cardinality of a set, which is basically the size of the set. The cardinality of a set is denoted by . For finite sets , cardinality is simply the number of distinct elements in . For example, if, then =5. Important results on numbers of elements in sets: Let , and be any finite sets and and be the finite universal set, then (a) (b) If then (c) (d) (e) (f) (g) Number of elements which belong to exactly one of or = (h) Number of elements in exactly two of the sets = (i) Number …