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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

Q: 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?

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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'.

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|.

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!

A finite number we do not discuss its radius as it is more of a geometric term.

Could you be more specific? An equivalence relation effectively partitions a set into nonoverlapping subsets.

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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)

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.

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)!

An element and compound. Element- A group of atoms with identical proton numbers, Compound- 2 or more DIFFERENT elements chemically held together.

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'.

Any finite number has a finite number of factors, but an infinite number of multiples.

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.

The answer to this equation would be 63. The "difference" is the comparative analysis of the values, a set of 81 elements has 63 more elements than a set having 18 elements. Or 81-18 = 63.

It is plentiful, but finite. Nothing is making more iron ore- when it is used up, it is gone.

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.

Counting the null set, you can make 236 = 68,719,476,736 subsets. This assumes that you do not mean group in the context of Group Theory because to answer that it would be necessary to have more information about the 36 elements and the binary operation defined for the group.

Absolutely, petroleum is a finite resource. There is only so much of it in the oil wells, and when it is all pumped out, there is no more.