set and subset

The total number of all possible subsets of a given set containing n elements is 2 ..

Prove that Null Set is the subset of every set Every set A is a subset of universal set U since, by definition all elements of A belong to U. Also the null set f A. The null set f is a subset..

Find the number of 3 element subsets that can be formed from the set {a, b, c, d, e, f, g, h} . => 6 or 56 or 336 or 1..

The number of subsets ' a ' of a set containing n elements is given by a = 2 n . Find the number of elements in the original set which has 32 subsets. => 5 or 32 or 2 3 2 or 16..

Let U be a universal set, A be any subset of U, then the elements of U which are not in A i.e., U - A is the complement of A w.r.t. U is written as A' = U - A = A c ..

Summary - A well-defined collection of definite objects is called a set. In roster method of representing a set, all the elements are listed in the set. In property method of representing a set, all the elements are represented by stating all the properties which are s..

A set A is said to be a proper subset of B if B contains at least one element, which is not in..

Properties of Relations - Consider the set A = {a, b, c, } then any subset of A x A is called a relation in A. Let R be any relation in A so that R is a subset of the product set A x A. We will discuss the properties a relation may possess.Consider the s..

A relation R is a non-empty sub-set of a cartesian product. A relation is a set of ordered pairs, i.e., R A x B where A and B are two non-empty sets..