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 Zermeloâ€“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.