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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