A, B, C, D, and E are sitting in a row, but not necessarily in that order. B is sitting to the immediate right of C. D is not at either end of the row. E is sitting to the immediate left of A. Who is sitting in the middle?
Question
A, B, C, D, and E are sitting in a row, but not necessarily in that order. B is sitting to the immediate right of C. D is not at either end of the row. E is sitting to the immediate left of A. Who is sitting in the middle?
Solution
Given the conditions, let's arrange the people step by step:
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B is sitting to the immediate right of C. This means C is not at the rightmost end and B is not at the leftmost end. We can represent this as: _ _ C B _
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D is not at either end of the row. This means D must be in one of the middle three positions. However, since C and B are already occupying two of these, D must be in the remaining middle position. Now we have: _ D C B _
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E is sitting to the immediate left of A. This means E is not at the rightmost end and A is not at the leftmost end. Since the only remaining positions are the ends, E must be at the leftmost end and A at the rightmost end. So, the final arrangement is: E D C B A
Therefore, C is sitting in the middle.
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