44. Ordering Seven Paintings An artist is hanging seven paintings in a straight line on a gallery wall, numbered 1 (leftmost) through 7 (rightmost). The paintings are: Landscapes: Picasso, Benton, Tamayo, Rivera Portraits: Van Gogh, Goya, Matisse The arrangement must satisfy all of the following rules: Position 5 must contain a portrait. No two portraits may hang in adjacent positions. The Goya is in position 2. If the Benton is in position 1, then the Tamayo is in position 7. The Rivera must not be in a lower-numbered position than the Van Gogh. The Picasso must not be hung immediately next to the Goya. Determine the exact order (1 through 7) in which the paintings are hung. Added 6 June 2012 Show Hint Show Solution Hint: Begin by placing the Goya and noting the required portrait at position 5. Then use the "no adjacent portraits" rule to limit possibilities and test the Rivera/Van Gogh condition. Solution: The unique order that satisfies all conditions is: Tamayo Goya Benton Picasso Van Gogh Rivera Matisse
Comments (0)
No comments yet. Be the first!
Add a Comment or Suggest an Answer