The five-variable propositional formula

is in Disjunctive Normal Form with two AND-of-literal clauses.

- Find a full Disjunctive Normal Form1 that is equivalent to P, and explain your reasoning. Can you narrow in on the important parts of the truth table without writing all of it? Alternatively, can you avoid the truth table altogether?

- Let C be a full Conjunctive Normal Form that is equivalent to P. Assume that C has been simplified so that none of its OR-of-literals clauses are equivalent to each other. How many clauses are there in C? Please dont try to write out any of these clauses. Briefly explain your answer.

P::=(ABCDE)(ABCE)