Permutation problems - PowerPoint PPT Presentation

Hard Problems

Hard Problems. Sanghyun Park Fall 2002 CSE, POSTECH. Hard Problems. Some problems are hard to solve. No polynomial time algorithm is known. E.g., NP-hard problems such as machine scheduling, bin packing, 0/1 knapsack Is this necessarily bad?

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PERMUTATIONS AND COMBINATIONS

PERMUTATIONS AND COMBINATIONS. PERMUTATIONS AND COMBINATIONS ARE METHODS TO SOLVE CERTAIN TYPES OF WORD PROBLEMS. BOTH PERMUTATIONS AND COMBINATIONS USE A COUNTING METHOD CALLED FACTORIAL . A FACTORIAL is a counting method that uses consecutive whole numbers as factors.

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Permutations and Combinations

Permutations and Combinations. Example #1. In how many ways can 4 of the 9 members of the U.S. Supreme Court enter a room, one at a time?. The problem in Example #1 was solved by applying the multiplication principle.

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