Enroll Now @ Rs. You may need to download version 2.0 now from the Chrome Web Store. There can be many questions formed on these kinds of sets. Various Relationship between sets using Venn Diagrams, Also, notice that through the Venn diagram that A -B = A ∩ B’, n(A  B  C) = n(A) + n(B) + n(C) – n(A ∩ B) – n(B ∩ C) – n(A ∩ C) + n(A ∩ B ∩ C), Let A, B and C be three sets and U be the universal set then the Venn diagram for 3 sets can be constructed as following. A Venn diagram is a diagrammatic representation of ALL the possible relationships between different sets of a finite number of elements. Do you see that alex, casey, drew and hunter are in the "Soccer" set? Set Theory- Maximum and Minimum Values Let’s construct the table like we did earlier in 3 set Venn diagram case corresponding to the value of the region. Shown by {}, Universal Set: all things we are interested in. Cardinality of a set means number of elements in any set. Handa Education Services Pvt Ltd � 2012-2018. A – B = {x: x Є A and x   B} and B – A = {x: x Є B and x   A}. This is called a "Union" of sets and has the special symbol ∪: Soccer ∪ Tennis = {alex, casey, drew, hunter, jade}. How to solve questions based on At least n in Set Theory for CAT Exam? The following examples should help you understand the notation, terminology, and concepts relating Venn diagrams and set notation. 20000+ students have used our online courses from 50+ cities in India. In our case that means they play both Soccer AND Tennis ... which is casey and drew. elements alex, casey, drew and hunter.). Artist that are players => (A ∩ P) + (D ∩ A ∩ P) = 22 +3 = 25, 4.) 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. (exactly the same as the U − S example from above), {alex, blair, casey, drew, erin, francis, glen, hunter, ira, jade}. How many can speak French only and how many can speak both English and French? For ex, Consider the set above S = {2, 3 ,4}. You write sets inside curly brackets like this: You could have a set made up of your ten best friends: Each friend is an "element" (or "member") of the set. We are the leading online course provider for various MBA Entrance Exams like CAT, XAT, IIFT, SNAP, etc. 2.) Example: 1. Mathematically, A ∩ B = {x: x Є A and x Є B}. Consider a new sequence of five consecutive even numbers ending with 2a3. You can also "subtract" one set from another. Doctors that are both Artist and Players => D ∩ A ∩ P = 3, 3.) How many can speak English only? Quantitative Aptitude – Modern Maths – P&C – Q4: Let AB, CD, EF, GH, and JK be five diameters of a circle with center at O. So Union ∪ is the one with more elements than Intersection ∩. But you can easily solve them using little manipulation and basic addition and subtraction. It is denoted by ‘. The above diagram is called Venn Diagram where there are two sets A and B and U is the universal set. The special symbol for Intersection is an upside down "U" like this: ∩. How to find Rank of a Word in Dictionary (With or Without Repetition) Let B denote candidates with credit card. P(S) = {,{1}, {2}, {3}, {1,2}, {2,3}, {1,3}, {1,2,3}. INFINITE SET: A set is called infinite set when its elements are not finite whether countable or Uncountable. Quantitative Aptitude – Modern Maths – Progressions – Q1: If a1 = 1/(2*5), a2 = 1/(5*8), a3 = 1/(8*11),……, then a1 + a2 +……..+ a100 is The shaded region represents the result of the operation. a) A ∩ B b) A ∪ B c) (A ∪ B)' d) A' ∩ B The objects could be anything numbers, letters, vectors, etc. Quantitative Aptitude – Modern Maths – Progressions – Q2: An infinite geometric progression a1, a2, a3,… has the property that an = 3(a(n+ l) + a(n+2) +….) Your IP: Venn Diagrams, they are pictorial representation of sets and help in easily solving questions. A set is a collection of things.For example, the items you wear is a set: these include hat, shirt, jacket, pants, and so on.You write sets inside curly brackets like this:{hat, shirt, jacket, pants, ...}You can also have sets of numbers: 1. How many doctors are both players and artists? Permutation and Combination – Fundamental Principle of Counting A set is generally denoted with a capital alphabet S or A or and its elements are generally enclosed in curly brackets like this S = {2, 3 ,4} 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: A = {x: x is an integer} or, B = {x:0.

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