Six persons A, B, C, D, E & F went to soldier cinema. There are six…
2025
Six persons A, B, C, D, E & F went to soldier cinema. There are six consecutive seats. A sits on the 2nd seat followed by B, followed by C and so on. If A takes one of the six seats, then B should sit adjacent to A. C should sit adjacent to A or B. D should sit adjacent to A, B or C and so on. How many possibilities are there?
- A.
31
- B.
32
- C.
33
- D.
34
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Show answer & explanation
Correct answer: B
Answer: 32
Reasoning:
Think of seating as building a contiguous block starting with A.
Each new person (B, then C, then D, then E, then F) must sit adjacent to the already seated group, so they attach either to the left end or to the right end of the block.
For each of the five placements after A there are 2 choices (left or right), so the total number of distinct seating orders is 2^5 = 32.
Thus the correct number of possibilities is 32.