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Two finite sets have m and n elements If A has 56 more subsets than B then what are the values of m and n?
It's clear that the first set has 2m subsets and second one has 2n subests.
so we have to solve 2m - 2n = 56 (m,n are positive integers)
Its also clear that m>n
let m = k+n
so 2k+n- 2n= 56
2n(2k- 1)= 23*7
clearly 2k-1 is odd
so 2n= 23, and n = 3
and 2k-1= 7 so k =3
so m = 3+3 = 6 and n = 3
What else can I help you with?
Is Closed interval finite?
Assuming its endpoints are not equal, a closed interval of the real number line a has an infinite number of real numbers in it. Closed intervals of other ordered sets can have either a finite or an infinite number of elements. I am not sure I answered your question because I am not exactly sure what you are asking. Could you be more specific? Are you talking about a closed interval of the real number line or closed interval of some other ordered set? By finite do you mean 'containing a finite number of elements' or do you mean 'bounded by a finite number'.
What is a pigeonhole principle?
The simple form of it states: If m pigeons are put into m pigeonholes, there is an empty hole iff there's a hole with more than one pigeon. In more formal math language it says: Let |A| denote the number of elements in a finite set A ( also known as its cardinality). For two finite sets A and B, there exists a 1-1 correspondence f: A -->B if and only if |A| = |B|.
How do you find the cardinality?
by counting the number of elements in a set. * * * * * For a simple set with a finite number of elements it is possible to count the number of distinct elements - even though it may be time consuming. For other finite sets, such as symmetry groups, it is not always easy to identify distinct elements before counting how many there are. However, there are theoretical methods that will help in such cases. The cardinality of an infinite group is Aleph-Null if it there is a 1-to-1 mapping with the set of integers. The cardinality is Aleph-One if the mapping is with the real numbers. If you go beyond that, you will have studied a lot more about cardinality and will not need to ask such a question!
What is the radius of 133?
A finite number we do not discuss its radius as it is more of a geometric term.
What are indefenet set?
Indefinite sets, often referred to in mathematical contexts, are collections of elements that do not have a fixed or specified number of members. Unlike finite sets, which contain a specific count of elements, indefinite sets can vary in size and are typically described using properties or rules that define their members. They are often used in discussions of infinite sets or in more abstract mathematical theories where the exact enumeration of elements is not necessary.
How many subsets with more than two elements does a set with 100 elements have?
To get the number of subsets of size less than 2:Total number of subsets of a set of size N is 2NTotal number of subsets of size 1 is 100Total number of subsets of size 0 is 1Total number of subsets of size 2 is 100*99/2 = 4950Sum up: 100 + 1 + 4950 = 5051Subtract this from total subsets: 2100 - 5051 (Answer)
What Is partitioning in math?
Partitioning is dividing a set of things into subsets such that the union of all the subsets is the original set and the intersection of any two subsets is the null set. That is, between them, the subsets account for the whole of the original set and there are no elements in more than one subset.
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 are the subsets of a pure substance?
An element and compound. Element- A group of atoms with identical proton numbers, Compound- 2 or more DIFFERENT elements chemically held together.
Is Closed interval finite?
Assuming its endpoints are not equal, a closed interval of the real number line a has an infinite number of real numbers in it. Closed intervals of other ordered sets can have either a finite or an infinite number of elements. I am not sure I answered your question because I am not exactly sure what you are asking. Could you be more specific? Are you talking about a closed interval of the real number line or closed interval of some other ordered set? By finite do you mean 'containing a finite number of elements' or do you mean 'bounded by a finite number'.
What is subsetting criteria?
an attribute(s) whose finite values divide all entity instances into useful subsets. Sometimes called inversion entry.
Why do we say there is a finite number of elements in the universe?
A little more than 100 different elements have been discovered (naturally or synthesized in particle accelerators). The more massive elements are all radioactive and have progressively shorter halflives as the mass of their atoms increases. Elements have already been synthesized that exist for such a short time after their formation that they cannot be detected directly, only by the products of their decay to less massive and more stable elements. At some point it is simply not going to even be possible for elements whose atomic mass is greater than some amount to even exist.
Does 15 have more factors or more multiples?
Any finite number has a finite number of factors, but an infinite number of multiples.
What is the relationship between the 3d elements on the periodic table and their electronegativity values?
The relationship between the 3D elements on the periodic table and their electronegativity values is that as you move across a period from left to right, the electronegativity values generally increase. This means that elements on the right side of the periodic table tend to attract electrons more strongly than elements on the left side. Additionally, as you move down a group, the electronegativity values generally decrease.
Which one of the 7 elements make up the army values?
There are seven elements that make up the Army Values. All seven work together, there is not one that is more important than the others. These values are, honor, integrity, personal courage, self service, loyalty, duty, and respect.
What are the key differences between finite element and finite volume methods in computational fluid dynamics?
The key difference between finite element and finite volume methods in computational fluid dynamics lies in how they discretize and solve the governing equations of fluid flow. Finite element method divides the domain into smaller elements and approximates the solution within each element using basis functions. It is more versatile for complex geometries and can handle different types of boundary conditions. Finite volume method divides the domain into control volumes and calculates the flow variables at the center of each volume. It is more conservative in terms of mass and energy conservation and is better suited for problems with strong conservation properties. In summary, finite element method focuses on local accuracy and flexibility in handling complex geometries, while finite volume method emphasizes global conservation properties and is more suitable for problems with strong conservation requirements.
Are there more domains than orders?
No, there are more orders (groups) than domains. The number of orders is infinite, while the number of domains is finite. Orders are sets of elements with a defined operation that satisfy group properties, while domains are sets of elements with defined operations that satisfy ring or field properties.
