Concept explainers
Some albatrosses return to the worlds only mainland colony of royal albatrosses, on Otago Peninsula near Dunedin, New Zealand, every two years to nest and raise their young. In order to learn more about the albatrosses, scientists place colored plastic hands on their legs so that they can be identified from a distance. Suppose that three bands are placed on their right leg, with the color of each band selected from the colors red, yellow, green, white, and blue. Anyone with binoculars is then able to track a handed bird. Find the number of different color codes that are possible for banding an albatross this way if
(a) The three hands are of different colors.
(b) Repeated colors are permissible.
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