The Number of Ways One Can Select Three Cards from a Group

question 51

Multiple Choice

The number of ways one can select three cards from a group of n cards (assuming the order of the selection matters) , where , is given by . For a certain card trick a magician has determined that there are exactly 5814 ways to choose three cards from a given group. How many cards are in the group?

• A)18 cards
• B)17 cards
• C)19 cards
• D)20 cards
• E)21 cards

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Definitions:

Ex Situ Conservation

The preservation of components of biological diversity outside their natural habitats, such as in zoos, aquariums, or botanical gardens.

Biodiversity Hotspot

Geographic regions that are rich in species diversity, including many endemic species, and are under significant threat from human activities.

Ex Situ Conservation

The practice of conserving animals, plants, or their genetic material outside their natural habitat, as in zoos or seed banks.

In Situ Conservation

The process of protecting an endangered species in its natural habitat, as opposed to ex situ conservation, which involves protecting species by removing part of the population from a threatened habitat.