Answer the questions below. (If necessary, consult a list of formulas.) (a) 70 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? (b) There are 13 European cities that Leila would eventually like to visit. On her next vacation, though, she only has time to visit 4 of the cities: one on Monday, one on Tuesday, one on Wednesday, and one on Thursday. She is now trying to make a schedule of which city she'll visit on which day. How many different schedules are possible? (Assume that she will not visit a city more than once.) ☐

Answer the questions below. (If necessary, consult a list of formulas.) (a) 70 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? (b) There are 13 European cities that Leila would eventually like to visit. On her next vacation, though, she only has time to visit 4 of the cities: one on Monday, one on Tuesday, one on Wednesday, and one on Thursday. She is now trying to make a schedule of which city she'll visit on which day. How many different schedules are possible? (Assume that she will not visit a city more than once.) ☐

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

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