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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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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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