# What are the formulas of set theory?

## What are the formulas of set theory?

What Is the Formula of Sets? The set formula is given in general as n(A∪B) = n(A) + n(B) – n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

What is the formula for 3 sets?

For three sets A, B and C, n(AᴜBᴜC) = n(A) + n(B) + n(C) – n(A∩B) – n(B∩C) – n(C∩A) + n(A∩B∩C)

How do you solve set theory word problems?

Solved basic word problems on sets:

1. Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ∪ B)
2. If n(A – B)
3. In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person likes at least one of the two drinks.
4. There are 35 students in art class and 57 students in dance class.

### What is the formula of n AUB?

Answer: Consider the formula n(A U B) = n(A) + n(B) – n(A ∩ B) (b) Make up two sets A and B, each consisting of at least sixelements. Using these two sets, show that the relationship aboveholds.

What are the symbols in set theory?

Mathematics Set Theory Symbols

Symbol Symbol Name Meaning
A ∩ B intersection Elements that belong to both the sets, A and B
A ⊆ B subset subset has few or all elements equal to the set
A ⊄ B not subset left set is not a subset of right set
A ⊂ B proper subset / strict subset subset has fewer elements than the set

What is the function of set theory?

A function in set theory world is simply a mapping of some (or all) elements from Set A to some (or all) elements in Set B. In the example above, the collection of all the possible elements in A is known as the domain; while the elements in A that act as inputs are specially named arguments.

## What is the importance of set theory?

Set theory is important mainly because it serves as a foundation for the rest of mathematics–it provides the axioms from which the rest of mathematics is built up.

What are the formulas for the set theory?

Sets Theory Formulas These are standard formulas in mathematics from the set theory. This is to say, If there are two sets namely A and B, then n (A U B) depicts the number of elements that exist in one of the sets A or B.

Which is an example of a set formula?

Set theory has its own various notations and symbols that may seem sometimes unusual for many. In this topic, we will discuss the Sets Formula with examples. It is a very interesting concept! A collection of objects is known as a Set. The theory of sets was given by German mathematician Georg Cantor (1845-1918).

### What are the formulas for two sets P and Q?

Formulas of Sets. These are the basic set of formulas from the set theory. If there are two sets P and Q, n(P U Q) represents the number of elements present in one of the sets P or Q. n(P ⋂ Q) represents the number of elements present in both the sets P & Q. n(P U Q) = n(P) + (n(Q) – n (P ⋂ Q) For three sets P, Q, and R,

Which is the formula for a collection of sets?

A collection of objects is called a Set. Formulas of Sets. These are the basic set of formulas from the set theory. If there are two sets P and Q, n(P U Q) represents the number of elements present in one of the sets P or Q. n(P ⋂ Q) represents the number of elements present in both the sets P & Q. n(P U Q) = n(P) + (n(Q) – n (P ⋂ Q)