## set theory problems and solutions

Total number of students in the group is n(FuHuC). Choice 1 uses set-builder notation, choice 2 describes the set, and choice 3 uses roster notation. There are no cars with 20 doors, so this set is empty (null). Choices 1 and 2 are each finite sets that do not have numbers as their elements. Mahmut Kuzucuo glu METU, Ankara November 10, 2014. vi. Choice 2 is the set of q such that q is an element of the integers, and q is greater than or equal to -5. Set R = {0, 1, 2, 3, 4} and set S = {4, 3, 0, 2, 1}, thus R is equivalent to S. Each of the elements in set G and set H are integers. C is the set of whole numbers less than 10 and greater than or equal to 0. (adsbygoogle = window.adsbygoogle || []).push({}); Your email address will not be published. In a town 85% of the people speak Tamil, 40% speak English and 20% speak Hindi. The set of all q such that q is an integer greater than or equal to, The complement of a set is the set of elements which belong to, Choice 2 is the set of q such that q is an element of the integers, and q is greater than or equal to, The shaded region shows an intersection of sets, Choice 3 is equal to the set of n such that n is an element of the integers, and n is greater than or equal to. (ii) The number of students that applied for both Mathematics and Economics (iii) The number of students that applied for both English language and Economics. please help me solve this Not registered for BPL Out of 45 students questioned, 42 like mathematics or english or both, 27 students like maths and 22 like english. None of the choices (1-3) are sets with real-number elements. Only when the word ‘only’ is mentioned in the problem should we consider it so. This means that 18 – 8 = 10 are learning ONLY English. Alternative Method (Using venn diagram) : Venn diagram related to the information given in the question: No. Some had passport, some had voter id and some had both. So, the percentage of people who speak all the three languages is 10%. Set Theory \A set is a Many that allows itself to be thought of as a One." SetXis a set of some metals and setYis a set of some gases. Question: In a class of 100 students, 35 like science and 45 like math. Therefore, a2Band c2D, so (a;c) 2B D. We may conclude that A C B D. 2. If 65 had passport and 30 had both, how many had voter id only and not passport? This DOES NOT mean that 18 are learning ONLY English. Total number of elements related to C only. the number of students like either mathematics or english n(MuE)=42 Since 9 is not an element of A, we know that C is not a subset of A. The shaded region shows an intersection of sets X and Y. Give brief reasons for each of your answers. the total number of elements are (n)=13 Each set listed is equal to "the set of all n such that n is an integer less than 2". If every student is learning at least one language, how many students are learning French in total? No one enrolled in all the three. Find the total number of students in the group. Set, The colors red, white and blue are all colors of the US flag, and are all elements of set, This Venn diagram represents the intersection of. SetDis the even whole numbers less than 10, and setEis the odd whole numbers less than 10. (AnA)=49_42 Set Theory Questions And Answers, Set Theory Questions For Aptitude, Set Theory Question Bank, Sets Questions And Answers. Total number of elements related to both A & C. Total number of elements related to both (A & C) only. SOLVE n(AnBnC²). Each object is called an element of the set. In a group of students , 38 enjoy video games , 12 enjoy movies and 24 enjoy solving math problems.8 students like all three activities , while 30 only like one of them.How many students like only two of the three activities.