A singleton set is a set that contains only one element. In other words, it is a set with a cardinality of one. For example, the set {5} is a singleton set because it contains only one element, which is the number 5.
Singleton sets can be formed with any type of element, such as numbers, letters, or even objects. It is important to note that the order in which the element is listed in the set does not matter. For example, {a} and {b} are both singleton sets, even though they contain different elements.
Singleton sets are useful in mathematics and computer science, as they can be used to represent unique objects or values in a system. For example, in programming, a singleton design pattern can be used to ensure that a class can only have one instance, which is useful in scenarios where multiple instances could cause issues.
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Step-by-step explanation:
A singleton set is a set that contains only one element. In other words, it is a set with a cardinality of one. For example, the set {5} is a singleton set because it contains only one element, which is the number 5.
Singleton sets can be formed with any type of element, such as numbers, letters, or even objects. It is important to note that the order in which the element is listed in the set does not matter. For example, {a} and {b} are both singleton sets, even though they contain different elements.
Singleton sets are useful in mathematics and computer science, as they can be used to represent unique objects or values in a system. For example, in programming, a singleton design pattern can be used to ensure that a class can only have one instance, which is useful in scenarios where multiple instances could cause issues.
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Singleton set is nothing just to have only single element in a set
eg
A = {C}