Which of the following is an example of a finite set?

• A. The set of all integers
• B. The set of the first ten natural numbers
• C. The set of all even numbers
• D. The set of all real numbers

Answer: (B)

A finite set is defined as a set that contains a limited number of elements. In this context, the option that represents a finite set is the set of the first ten natural numbers. This set includes the specific numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, totaling exactly ten distinct elements.

Since the set has a clearly defined size and can be counted, it fits the definition of a finite set perfectly. Other options, like the set of all integers, the set of all even numbers, and the set of all real numbers, contain infinitely many elements, thus qualifying them as infinite sets. Therefore, the set of the first ten natural numbers exemplifies a finite set because it is bounded and contains a specific count of elements.