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 …

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