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Q: What is the possible number of reflexive relations on a set of 5 elements?
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What is the total number of reflexive and symmetric relations on a set containing n elements?

the total no of reflexive relation on an n- element set is 2^(n^2-n).

What is the possible number of symmetric relations on a set of 5 elements?

The number is 5! = 120

How do you Derive The Number of reflexive relation of a Set 's' having n elements?

make a table as I did below for the set {a,b,c} with 3 elements. A table with all n elements will represent all the possible relations on that set of n elements. We can use the table to find all types of relations, transitive, symmetric etc. | a | b | c | --+---+---+---+ a | * | | | b | | * | | c | | | * | The total number of relations is 2^(n^2) because for each a or b we can include or not include it so there are 2 possibilities and there are n^2 elements so 2^(n^2) total relations. A relation is reflexive if contains all pairs of the form {x,x) for any x in the set. So this is the diagonal of your box. THESE ARE FIXED! No, in reflexive relation we still can decide to include or not include any of the other elements. So we have n diagonal elements that are fixed and we subtract that from n^2 so we have 2^(n^2-n) If you do the same thing for symmetric relations you will get 2^(n(n+1)/2). We get this by picking all the squares on the diagonal and all the ones above it too.

What does an elements location tell you about that element?

It tells you the atomic number, the number of protons, the density, its relations to other elements, and its characteristics.

How do you Derive The Number of symetric relation of a Set 's' having n elements?

2^(n^2+n)/2 is the number of symmetric relations on a set of n elements.

Roughly how many elements are there?

90 naturally occurring elements, unknown number possible elements.

What is the definition of reflexive property of equality?

The reflexive property simply says that A=A, in other words, any number is equal to itself.

Do any two elements have the same atomic number?

no that's not possible

Is it true the number of elements in the sample space of an event is equal to the total number of possible outcomes?


How Is it possible for the atoms of different elements to have the same mass numbers?

It is possible only because of different number of neutrons.

What is reflexive property of mathematics?

The reflexive property of mathematics states that a=a, or that any number is always equaled to itself.Examples:1 = 15 = 5-10² = -10²

What is the Property which states that a number is equal to itself?

Reflexive property of equality.