Five people sit at a round table: W, X, Y, Z, V. W sits next to X. Y does not sit next to Z. How many distinct seating arrangements are there? (Rotations are identical.)

Explanation

Fix W. X is next to W (2 choices: left or right). Remaining 3 (Y,Z,V) fill 3 seats. Total without Y-Z constraint: 2×3!=12. Subtract Y next to Z: need to count those. With W fixed and X placed, Y-Z adjacent in remaining 3 seats: depends on configuration. Counting gives 6 valid arrangements.