A landscaper wants to plant four oak trees, eight maple trees, and six poplar trees along the border of a lawn. The trees are to be spaced evenly apart. In how many distinguishable ways can they be planted?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A landscaper wants to plant four oak trees, eight maple trees, and six poplar trees along the border of a
lawn. The trees are to be spaced evenly apart. In how many distinguishable ways can they be planted?
Transcribed Image Text:A landscaper wants to plant four oak trees, eight maple trees, and six poplar trees along the border of a lawn. The trees are to be spaced evenly apart. In how many distinguishable ways can they be planted?
15. The manager of a local cinema records the number of patrons attending a first-run movie at the 1 P.M.
screening. The theater has a seating capacity of 500. (6)
a.
What is an appropriate sample space for this experiment?
b. Describe the event E that fewer than 50 people attend the screening.
c. Describe the event F that the theater is more than half full at the screening.
6. Let S be any sample space, and let E, F, and G be any three events associated with the experiment.
Describe the events using the symbols U, n, and C. (6)
a. The event that none of the events E, F, and G occurs
b. The event that F but not G occurs
с.
The event that E or F or G occurs
Transcribed Image Text:15. The manager of a local cinema records the number of patrons attending a first-run movie at the 1 P.M. screening. The theater has a seating capacity of 500. (6) a. What is an appropriate sample space for this experiment? b. Describe the event E that fewer than 50 people attend the screening. c. Describe the event F that the theater is more than half full at the screening. 6. Let S be any sample space, and let E, F, and G be any three events associated with the experiment. Describe the events using the symbols U, n, and C. (6) a. The event that none of the events E, F, and G occurs b. The event that F but not G occurs с. The event that E or F or G occurs
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