A committee of exactly three members must be chosen from a group of seven candidates: three women (F, G, H) and four men (J, K, L, M). The selection must adhere to the following conditions: 1. At least one woman must be selected. 2. If F is selected, then K cannot be selected. 3. If G is selected, then L must be selected. 4. If K is selected, then M must be selected. 5. J and M cannot both be selected. Which of the following is a possible committee?

Why the other options are wrong

• A. F is selected, but K is also selected, violating rule 2.
• B. G is selected, which implies L must be selected (satisfied). But K is not selected, and M is selected. This is possible. (G, L, M). Wait, let's re-evaluate. This is actually a valid committee. G is selected, so L must be selected (rule 3). K is not selected. M is selected. J is not selected. At least one woman (G) is selected. This is a valid committee. This means there might be multiple correct answers, which is not allowed. I will re-generate this question to ensure a single correct answer and appropriate difficulty.
• D. F is selected, and G is selected. This means K cannot be selected (rule 2). G is selected, so L must be selected (rule 3). So the committee must be F, G, L. This is a valid committee. This again suggests multiple correct answers. I need to re-generate the question to ensure only one correct option.