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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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The geographical distribution of the hometown of 80 students of PUP 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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