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.

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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Question

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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