22. Suppose you have a 500-piece jigsaw puzzle showing the Ànec of Catalonia. To put it together, you must fit the pieces together. At any point, you either fit a new piece onto an existing chunk of puzzle or you fit two chunks together along a puzzle seam. Prove that no mat- ter what order the pieces are placed in,there are exactly 499 piece/chunk fit- tings to solve the puzzle.
22. Suppose you have a 500-piece jigsaw puzzle showing the Ànec of Catalonia. To put it together, you must fit the pieces together. At any point, you either fit a new piece onto an existing chunk of puzzle or you fit two chunks together along a puzzle seam. Prove that no mat- ter what order the pieces are placed in,there are exactly 499 piece/chunk fit- tings to solve the puzzle.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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22. Suppose you have a 500-piece jigsaw puzzle showing the Ànec of Catalonia. To put it together, you must fit the pieces together. At any point, you either fit a new piece onto an existing chunk of puzzle or you fit two chunks together along a puzzle seam. Prove that no mat- ter what order the pieces are placed in,there are exactly 499 piece/chunk fit- tings to solve the puzzle.
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