Question

Which of the following are correct?

• A. If a set is said to be finite, then the number of elements in that set is always a natural number.
• B. A set which does not contain any element is called an empty set.
• C. A set which is empty or consists of a definite number of elements is called finite set, otherwise, the set is called infinite set.
• D. Set of integers is a finite set.

Answer 1

Answer: (B), (C)

The correct options are
B

A set which does not contain any element is called an empty set.

C

A set which is empty or consists of a definite number of elements is called finite set, otherwise, the set is called infinite set.

1) An empty set is also a finite set. Number of elements in an empty set is zero. So, a set which is empty (or) consists of definite number of elements is called finite set.

2) A set which does not contain any element is called an empty set.

3) A set which is empty or consists of a definite number of elements is called finite set, otherwise, the set is called infinite set.

4) The set of integers is an infinite set.