6.1 Fundamental Principles of Counting

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Solved Examples

  1. Entry: The man can choose any of the 6 doors. (6 ways).
  2. Exit: Since he must use a different door, he has 61=56 - 1 = 5 options left.
  3. Total Ways: By Multiplication Principle: 6×5=30 ways6 \times 5 = 30 \text{ ways}

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