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Mathematics Set Theory Symbols SymbolSymbol NameMeaning { } set a collection of elements A B union Elements that belong to set A or set B A B intersection Elements that belong to both the sets, A and B A B subset subset has few or all elements equal to the set22 more rows
The union of two sets A and B is the set of all those elements which are either in A or in B, whereas the intersection of two sets A and B is the set of all elements which are common.
Formula for Number of Elements in A union B Consider two sets, A and B, such that the number of elements in the union of A and B can be calculated as follows. n(A U B) = n(A) + n(B) n(A B)
We can find A union B union C by combining all the elements of the sets A, B and C in a single set and avoiding the repetition of the elements. As we know that A U B U C = {x: x A (or) x B (or) x C}, this implies A union B union C consists of elements that are in A or B or C.
n(A B) = n(A) + n(B) n(A B) Simply, the number of elements in the union of set A and B is equal to the sum of cardinal numbers of the sets A and B, minus that of their intersection.
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The symbol for union, , is often called cup. It was first used by Peano in 1888. He also introduced , cap, for intersection and many other symbols we still use in set theory. The union ST S T of two sets S and T includes all the elements of S and all the elements of T but not any other elements.
The Union Rule: P(A U B) = P(A) + P(B) P(A B). If two events are mutually exclusive, then the probability of them occurring at the same time is P(A B) = 0. So, if A and B are mutually exclusive then the P(A U B) = P(A) + P(B) as shown in Figure 4-7.
The symbol means union. Given two sets S and T, S T is used to denote the set {x|x S or x T}. For example {1,2,3}{3,4,5} = {1,2,3,4,5}. The symbol means intersection. Given two sets S and T, S T is used to denote the set {x|x S and x T}.

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