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Solutions
X sits third from the right end. X sits between W and U.

U sits on the immediate left of V. This is not possible in case 2. So case 2 dropped and takes case 1.
U sits third to the right of Z, who is not an immediate neighbour of V or T, who sits third to the left of W, who is an immediate neighbour of Z. Neither U nor Y sits at any end of the line. There is only one person sit between V and X but that person is neither Z nor Y.
