Permutation and Combination - Arrangements with Repetition Allowed

Permutation and Combination - Arrangements with Repetition Allowed

A wildlife researcher is planning five observation visits in a reserve with eight distinct observation stations.

  1. In how many ways can five different stations be selected if the order of the visits is irrelevant?
  2. In how many ways can a route through five different stations be arranged if the order of the visits matters?
  3. How many ordered five-visit schedules can be formed if stations may be revisited?
  4. In how many ways can five station visits be selected if stations may be revisited and the order of the visits is irrelevant?

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Answer:(i) \(56\) (ii) \(6720\) (iii) \(32\,768\) (iv) \(792\)

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