DISCRETE MATH QUESTION a) Prove the following statement using an element argument and reasoning directly from the definitions of union, intersection,...

DISCRETE MATH QUESTION

a) Prove the following statement using an element argument and reasoning directly from the definitions of union, intersection, set difference.

For all sets A, B, and C, (A ∪ B) ∩ C ⊆ A ∪ (B ∩ C).

b) Find the cardinality of P(P({0, 1})) where P represents power set.