Answer the questions below. (If necessary, consult a list of formulas.) (a) A company has 38 salespeople. A board member at the company asks for a list of the top 4 salespeople, ranked in order of effectiveness. How many such rankings are possible? (b) There are 14 European cities that Heather 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.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 5CT: A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The...
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questions A and B

Answer the questions below.
(If necessary, consult a list of formulas.)
(a) A company has 38 salespeople. A board member at the company asks for a list of the top 4
salespeople, ranked in order of effectiveness. How many such rankings are possible?
(b) There are 14 European cities that Heather 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.)
Transcribed Image Text:Answer the questions below. (If necessary, consult a list of formulas.) (a) A company has 38 salespeople. A board member at the company asks for a list of the top 4 salespeople, ranked in order of effectiveness. How many such rankings are possible? (b) There are 14 European cities that Heather 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.)
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