Performance & security by Cloudflare, Please complete the security check to access. The special symbol for Intersection is an upside down "U" like this: ∩. How to solve questions based on At least n in Set Theory for CAT Exam? for every n ≥ 1. Let B denote candidates with credit card. But you can easily solve them using little manipulation and basic addition and subtraction. Let's say that our universe contains the numbers 1, 2, 3, and 4, so U = {1, 2, 3, 4}. alex and hunter play Soccer, but don't play Tennis or Volleyball, Empty Set: the set with no elements. But for our purpose and level we only need their understanding up till four sets. To visualize set operations, we will use Venn diagrams. Let A denote people who can speak English, Sol: Since, n(A B) = n(A) + n(B) – n(A ∩ B), Now only A can be written as = n(A) – n(A ∩ B), Similarly, only B = n(B) – n(A ∩ B) = 43 -15 = 28. POWER SET: A power set is the set of all the subsets of a set say S, it contains both null set and S itself. Mathematically, COMPLEMENT OF A SET: Let A be any set then A, DISJOINT SETS: A collections of sets are called Disjoint sets if their intersection is empty or  e. if A and B are two sets then. B is the set of primes. Set of whole numbers: {0, 1, 2, 3, ...} 2. Venn diagrams can be used to express the logical (in the mathematical sense) relationships between various sets. Given the following Venn Diagram determine each of the following set. A Venn diagram is a diagrammatic representation of ALL the possible relationships between different sets of a finite number of elements. We show it by writing a little "C" like this: Which means "everything that is NOT in S", like this: Sc = {blair, erin, francis, glen, ira, jade} A Venn diagram is a simple but powerful way to represent the relationships between datasets. 20000+ students have used our online courses from 50+ cities in India. 9999 DIFFERENCE OF SETS: If A and B are two sets then their difference (A – B) is a set containing elements that are only present in A and not in B. The above diagram is called Venn Diagram where there are two sets A and B and U is the universal set. With a little practice, you can easily and quickly solve questions of sets either using Venn diagrams. Your email address will not be published. if there are two sets A and B then their Union contain elements which are in A, in B, or both A and B. In our case that means they play both Soccer AND Tennis ... which is casey and drew. We are the leading online course provider for various MBA Entrance Exams like CAT, XAT, IIFT, SNAP, etc. Artist that are players => (A ∩ P) + (D ∩ A ∩ P) = 22 +3 = 25, 4.) This site uses Akismet to reduce spam. A is the set of multiples of 3. 2.) A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. Cardinality of a set means number of elements in any set. It is denoted by symbol ‘∩’. For ex. Here, 2, 3 and 4 are elements of set S and an element is generally denoted using the symbol Є (belongs to) like this: 2 Є S. When a set is very large and cannot be contained it can also be denoted in the following way: B = {x: 0 D ∩ A ∩ P = 3, 3.) A perfect example for universal set can be set of Real Numbers and the set of Natural numbers, Integers, Rational Numbers etc., are the subsets of it. Then. How many can speak French only and how many can speak both English and French? P(S) = {,{1}, {2}, {3}, {1,2}, {2,3}, {1,3}, {1,2,3}.