1. A certain university has 3 000 students. If 2500 students from this university attend a lecture in Arts and 1275 attend a lecture in science, find: (a) the smallest number that could have attended both lectures; (b) the largest number that could have attended both lectures; (c) the number that attended at least one of the lectures if 775 attended both lectures.

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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1. A certain university has 3 000 students. If 2500 students from this university attend a
lecture in Arts and 1275 attend a lecture in science, find:
(a) the smallest number that could have attended both lectures;
(b) the largest number that could have attended both lectures;
(c) the number that attended at least one of the lectures if 775 attended both lectures.
Transcribed Image Text:1. A certain university has 3 000 students. If 2500 students from this university attend a lecture in Arts and 1275 attend a lecture in science, find: (a) the smallest number that could have attended both lectures; (b) the largest number that could have attended both lectures; (c) the number that attended at least one of the lectures if 775 attended both lectures.
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