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What is for two sets the set of all elements that are in either set?
Wiki User
∙ 7y ago
That is called the UNION of the two sets.
Wiki User
∙ 7y ago
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How many subsets can be made from a set with 6 elements?
If a set has six elements, for example {A, B, C, D, E, F}, then it may have the following subsets: - the set itself - 6 sets of five elements - 15 sets of four elements - 20 sets of three elements - 15 sets of two elements - 6 sets of one element - 1 set with no elements (the null set), for a total of 64 sets, which is 2^6, or 2 to the 6th power.
What do you call sets within another set?
If all elements of set A are also elements of set B, then set A is a subset of set B.
Difference between Union and Set Intersection Operation?
union means to group the given sets. where as intersection means to pick out the common elements from the given sets. if set a has 1,2,3 elements and B has 1,2,3,4,5. then its union will have 1,2,3,4,5 as its elements. and its intersection will have 1,2,3 as its elements.
Is there a subset to 0?
There is, because {0} has one element, 0. The set {0} therefore can have infinite sets, providing that, all sets are either null or has one element, 0.
How many subsets of a set with 100 elements have more than one element?
It is 2^100 because each of 100 elements can either be in or out. By the way the answer is 2^100-101, because there is one subset with no elements at all (the empty set)!
What for two sets is the set of all elements that are in either set?
The union of a collection of sets is defined as the set of all distinct elements that are in the collection. This includes the specific case where the collection consists of two sets.
What does aUb mean in math?
The union of sets A and B, that is, the set of all elements that are either in A or B (or both).
In math what does the union of two sets mean?
The union of two sets A and B is a set that consists of all elements which are either in A, or in B or in both.
What is it when you have all the elements in two or more sets?
The set of elements that are elements of the two (or more) given sets is called the intersection of the sets.
Why all sets have at least one element?
That's not true. All sets have zero or more elements. You can have a set with zero elements - the "empty set".
What ways can you write a set?
Basically two ways: either by listing all the elements, or by specifying some rule for elements to be included. Listing all the elements only makes sense for finite sets.
What are the 4 basic operations on set?
A set is a collection of well defined objects known as elements Opperatons of sets are 1)union - the union of sets A and B is the set that contains all elements in A and all elements in B. intersection - given two sets A and B, the intersection of A and B is a set that contains all elements in common between A and B. compliments - given set A, A compliment is the set of all elements in the universal set but not in A difference - A-B is a set containing all elements in A that are not in B. symmetric difference - it is the sum of A and B minus A intersection B.
What is the union set?
The union of two sets, X and Y, is the set containing all the elements that are either in X or in Y or in both. Duplicate entries are usually removed.
What are examples of subsets?
For example, if you take the set A = {1, 2}, then the following sets are all subsets of it: {}, {1}, {2}, {1, 2}. That is, all the sets that fulfill the condition that all of its elements are also elements of the set "A".
Why null set is called a set?
Allowing sets with zero elements simplifies things, in the sense of not requiring all sorts of special cases. For example: the intersection of two sets is another set (which contains all items that are elements of BOTH original sets). Period! If you allow the empty set, there is no need to alter the definition of an intersection, to consider the special case that the sets have no elements in common.
What is two method of writing set?
You can specify a set either by listing all of its members (not an option for sets that are very large or even infinite), or by specifying some rule for elements to be a part of the set.
What are the different kinds of sets according to the relationship?
There are various types of sets based on the relationship between their elements. Some common types include: Empty set: A set containing no elements. Singleton set: A set with only one element. Finite set: A set with a countable number of elements. Infinite set: A set with an uncountable number of elements. Subset: A set where all elements are also elements of another set. Proper subset: A subset that is not equal to the original set. Universal set: A set that contains all elements under consideration. Disjoint set: Sets that have no common elements. Power set: A set consisting of all possible subsets of a given set.
