Recall that inference rules are sound if every set of conditions which make the premise true also make the conclusion true. Which of the following interence rules is NOT sound b. O & Premise: Conclusion: PORQ Premise: P-> QOR Q -> P Conclusion: P Q . Premise: (NOT Q), P-> Conclusion (NOT P) Od Premise: PAND O Conclusion Assume you are proving the following by induction Any amount of money greater than or equal to 12 cents can be made using and Scrot conduction Hypothesis: Let Poh) be the amount of money being made in cents. Identify the base case. O a P(5) O b. P[4) OCP(12) Od P[20) e PIO) What is the proper way to negate the following proposition: Every day is a nice day. O a. Every day is not a nice day. O b. At least one day is not a nice day. O c. At least one day is a nice day