Six people, A, B, C, D, E and F are sitting in a row, facing north. F sits to the immediate left of A. C sits third to the left of D. C is an immediate neighbour of A. B sits to the immediate left of E. How many people sit between E and C?
One
To solve the problem of determining how many people sit between E and C, we need to arrange the six people based on the clues given in the question. Let's follow the step-by-step reasoning:
- Firstly, we know there are six people: A, B, C, D, E, and F.
- We are informed that F sits to the immediate left of A, which can be represented as "F A".
- We also know that C sits third to the left of D, meaning there are two people between C and D. Thus, one possible representation for this is "C _ _ D".
- C is an immediate neighbour of A, so C can sit either to the left of F or to the right of A. We try placing C and immediately find that one configuration is "F C A _ D".
- Next, B sits to the immediate left of E, giving us "B E".
- Let's align all these placements. Since "B E" must fit into the arrangement and "C _ _ D" already takes four positions, position B and E are likely at the start, providing the full lineup: "B E F C A D".
With the complete arrangement, we identify the people sitting between E and C:
- The order is "B E F C A D".
- F is the only person between E and C.
Therefore, there is one person sitting between E and C. The correct answer is One.
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Important Questions from Linear Arrangement
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