Question

In how many ways can 5 distinct letters be arranged in a circle?

• A. 24
• B. 48
• C. 120
• D. 60

Hint:

For circular arrangements, use $(n-1)!$ to account for rotational symmetry.

Answer 1

The Correct Option is A

- Step 1: Circular permutations. For $n$ distinct objects in a circle, arrangements = $(n-1)!$. For 5 letters: $(5-1)! = 4! = 24$.
- Step 2: Verify. Circular arrangements account for rotations: $5! = 120$, divide by 5 rotations = $\frac{120}{5} = 24$.
- Step 3: Conclusion. Option (1) 24 is correct.