Question

is nullset is a finite or infinite?give reason​

Answer 1

Answer:

The set like {3,5,7} will be finite set with a set of three natural numbers. So a finite set contains set of natural numbers or non negative numbers. Since null set has zero number, or null element so it will be considered finite set. ... The empty set is a subset of every set.

Answer 2

Answer:

Null set is finite set. In order to prove this,we consider the power set of null set.

Formula for finding the power set is 2n where n is number of elements in a set.

As we know null set contains no elements means containing zero elements. Here, n=0, so 20=1,that is power set containing one and only set i.e. ϕ. (as, A=ϕ so p(A)=ϕ).

Finite member of set have finite power set and infinite member of set have infinite power set.