Some albatrosses return to the world’s 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 bands on their legs so that they can be identified from a distance. Suppose that three hands 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 banded bird. For the number of different color codes that are possible for banding an albatross this way if a) The three bands are of different colors. b) Repeated colors are permissible.
Some albatrosses return to the world’s 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 bands on their legs so that they
can be identified from a distance. Suppose that three hands 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 banded bird. For the number of different color codes that are
possible for banding an albatross this way if
a) The three bands are of different colors.
b) Repeated colors are permissible.
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