How many ways can 5 people be seated around a CIRCULAR table?

1. CIRCULAR arrangements: rotations of the same arrangement are considered IDENTICAL (no fixed reference frame around a round table). 2. With $n$ people in a row: $n!$ arrangements. In a circle: divide by $n$ (each circular arrangement corresponds to $n$ rotations). 3. Formula: $(n-1)!$ for circular arrangements. 4. For 5 people: $(5-1)! = 4! = 24$ ways. 5. If reflections (mirror images) are also identified (e.g. seating around a square table viewed both sides), divide further by 2 → $(n-1)!/2$. 6. Option A is the LINEAR count (over-counts by $n$). Option B is meaningless. Option D ignores combinatorics. _Source: NCERT Class 11 Mathematics, Ch 6, §6.3.3 (Circular permutations), p. 7–8._