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There are six steps that lead from the first to the second floor. No two people can be on the same step. Mr. A is two steps below Mr. C. Mr. B is a step next to Mr. D. Only one step is vacant (No one standing on that step) Denote the first step as step1 and second step as step2 etc. Which of the following is falseI. B&D can be both on odd-numbered steps in one configurationII. In a particular configuration A and C must either both an odd numbered steps or both an even-numbered stepsIII. A person E can be on a step next to the vacant step.A. I onlyB. II onlyC. III onlyD. both I and III
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