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.
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)
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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feea55f2c-5de0-4dcd-a68d-e895718def45%2Fc2615fc3-184c-461d-9541-64cd40dd0bbc%2F9xovbg9_processed.png&w=3840&q=75)
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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