Finite Sets Are Sets With a Finite or Countable Number of Elements - Statistics Assignment Help

Assignment Task

Task

• Sets are categorized into various types. Some of these are singleton, finite, infinite, empty and so on.
• Singleton Sets are set that has only one element. It is also called as unit set. For example, Set P = { k | k is an integer between 10 and 12} which is P = {11}.
• Finite Sets are sets with a finite or countable number of elements. For instance, Set P = {k | k is an add number less than 20}, which is P = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}.
• Infinite Sets are sets with an infinite or uncountable number of elements. For example: Set Q = {Multiples of 5}.
• Empty (Null Sets) are sets that does not contain any element. It is expressed using the symbol '?'. For instance: Set A = { }.
• Equal Sets are two sets have the same elements in them. For example: R = {a, b, c} and S = {a, b, c}. As the two sets are equal, it can be represented as R = S.
• Unequal Sets are two sets that have at least one element that is unlike. For example: C = {b, c, d} and D = {b, c, f}. As the two sets are equal, it can be represented as C ? D.
• Equivalent Sets are two sets that have the equal number of elements, even though the elements are different.
• For instance: P = {4, 5, 6, 7} and Q = {e, f, g, h}. Here, set P and set Q are equivalent sets since n(P) = n(Q)
• Overlapping Sets are two sets that if at least one element from a set R is present in set S. For example: R = {1, 3, 5} and S {3, 6, 8}. Here, element 3 is present in set R as well as in set S. Therefore, R and S are overlapping sets.Disjoint Sets are two sets where there are unlike elements in both sets. For instance: D = {a, b, c, d} and E = {e, f, g, h}. Here, set D and set E are disjoint sets.
   

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