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Question

why "empty set" is called a set when it does not contain any element.
Definition of set (set is the collection of distinct objects)
while empty hav no elements then y does it is called set.

Answer 1

It's called the "empty set" because it is empty.

Think of it like the number zero. Five minus five equals zero.

Likewise, the intersection of the set of all oranges and the set of red fruits is the empty set. The intersection operation yields a "null" result -- a.k.a the empty set.