Math  /  Discrete

QuestionProbability Permutations and combinations: Problem type 2
Answer the questions below. (If necessary, consult a  list of formulas.) \underline{\text { list of formulas.) }} (a) 74 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed? \square (b) To log on to a certain computer account, the user must type in a 3-letter password. In such a password, no letter may be repeated, and only the lower case of a letter may be used. How many such 3-letter passwords are possible? (There are 26 letters in the alphabet.) \square

Studdy Solution
(a) There are **392,184** ways to distribute the medals. (b) There are **15,600** possible 3-letter passwords.

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