True or False

The cardinality of the power set of A is 2^|A|

True or False

An ordered pair is written as (X,Y). This also makes a good example of a "two tuple".

True or False

If f is a function that maps a set X to a set Y, then f is a subset of X x Y. Furthermore, for every x E X, there are exactly two y E Y such that (x,y) E f. "E = element of"

Please explain, thank you.