The geographical distribution of the hometown of 80 students of ADU is given as: 50 from Luzon, 10 from Visayas, and 20 from Mindanao.  (1) How many ways can three students be selected at random such that NO student comes from Luzon and Mindanao. (2) How many ways can three students be selected at random such that all of them come from any of the three places.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...
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The geographical distribution of the hometown of 80 students of ADU is given as: 50 from Luzon, 10 from Visayas, and 20 from Mindanao. 

(1) How many ways can three students be selected at random such that NO student comes from Luzon and Mindanao.
(2) How many ways can three students be selected at random such that all of them come from any of the three places.

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