A committee of four members is to be formed from the following individuals: P, Q, R, S, and T. The selection criteria are: 1) P and Q cannot be on the committee together. 2) R must be included if S is included. 3) T can only be included if P is not included. Which of the following combinations is valid?
A team of three players is to be selected from the following: X, Y, Z, A, and B. The selection rules are: 1) X and Y cannot be selected together. 2) Z must be included if A is included. 3) B can only be included if Y is not included. Which of the following selections is valid?
In a puzzle, there are three boxes: A, B, and C. The following conditions apply: 1) Box A cannot contain item 1. 2) Box B must contain item 2 if box C contains item 3. 3) Box C can only contain item 1 or item 3. Which box must contain item 2?
A, B, C, D, and E are five members of a family. A is the mother of B and C. D is the father of E and is married to A. If C is a teacher, what is the profession of E?