Six persons A, B, C, D, E, and F sit around a triangular table with three persons at the corners facing away from the center and three persons at the ...

Six persons A, B, C, D, E, and F sit around a triangular table with three persons at the corners facing away from the center and three persons at the middle of the sides facing towards the center. Each person likes a different animal: fish, dog, rabbit, pigeon, duck, and cat. Given the following conditions:

• The person who likes fish sits at a corner. - The person who likes cat sits immediately to the right of the person who likes duck. - C sits second to the right of B, who likes rabbit. - D faces the center and sits third to the right of the person who likes pigeon. - E sits immediately to the right of D. - F sits at a corner but does not like pigeon or cat. - E does not like duck or fish.
  Who among the following likes ducks?