# Math Help - Set Theory Relations Problem

1. ## Set Theory Relations Problem

Hoping someone can help me with this.

Two finite sets A and B have the same size, written A~B, iff they have the same number of elements. For a finite set X, show that ~ is an equivalence relation on P(X).

2. Originally Posted by undmath11
Hoping someone can help me with this.

Two finite sets A and B have the same size, written A~B, iff they have the same number of elements. For a finite set X, show that ~ is an equivalence relation on P(X).
Hint: This is the same thing as saying that there exists some bijection $f:A\to B$

3. Thank you!