Consider the following compound propositions: A = (P→Q) Λ (Q→R) B = (P→R) a)Determine whether A ≡ B. Support your answer using truth table. Give reason for your answer. b)Determine whether the above compound propositions are tautology, contradiction or neither. Justify your answer. c)Write the converse and contrapositive of the compound propositions A and B. d)Perform a brief research on the area of permutation and combination. Find relevant articles that discuss on the concept and its example. Discuss your answer in a minimum of 1 page-long.