A - This type of design pattern comes under creational pattern. Singleton Set. which of the following sets are singleton sets (i) a={x:3x-2=0, x belongs to Q} (ii) b= {x:x^3=0, x belongs to R} (iii) c= {x:30x-59=0, x belongs to N} (iv) d={x:IxI =1, x belongs to Z} - Math - Number Systems B - This pattern involves a single class which is responsible to create an object while making sure that only single object gets created. Q 9 - Which of the following is correct about Singleton design pattern. Within the framework of Zermelo–Fraenkel set theory, the axiom of regularity guarantees that no set is an element of itself. Find, which of the following sets are singleton sets : (i) The set of points of intersection asked Sep 17, 2018 in Mathematics by AnujPatel ( 53.4k points) sets All the empty sets also fall into the category of finite sets. Which of the following is an example of a singleton set? D. A set of Sipnayan Club officers in your school. C. A set of vowel/s in the word "MATHEMATICS". For e.g. Find, which of the following sets singleton sets are: (i) The set of points of intersection of two non-parallel straight lines in the same plane. A set of student council president in your school. If a set contains only one element, then it is called a singleton set. 6. In this set, the number of elements is finite. A set of prime number/s less than five. This implies that a singleton is necessarily distinct from the element it contains, thus 1 and {1} are not the same thing, and the empty set is distinct from the set containing only the empty set. B. A. Properties. A = {x : x is an even prime number} B = {y : y is a whole number which is not a natural number} Finite Set. But if this is so difficult, I wonder what makes mathematicians so interested in this subject. Solution: The set of points of intersection of two non-parallel straight lines in the same plane. A set, which has only one element in it, is called a SINGLETON or unit set.