OpenStax, Contemporary Mathematics §7.2 Permutations · Example 4 · Combinatorics · Permutations & combinations

Permutations · Example 4

(a) A high school graduating class has 312 students. The top student is declared valedictorian, and the second-best is named salutatorian. How many possible outcomes are there for the valedictorian and salutatorian?
(b) In the card game blackjack, the dealer’s hand of 2 cards is dealt with 1 card faceup and 1 card facedown. If the game is being played with a single deck of (52) cards, how many possible hands could the dealer get?
(c) The University Combinatorics Club has 3 officers: president, vice president, and treasurer. If there are 18 members of the club, how many ways are there to fill the officer positions?

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OpenStax, Contemporary Mathematics · §7.2 Permutations · Example 4

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