36 students take the Discrete Structures class. They had 3 quizzes called X, Y, and Z. Surprisingly, only 1 student did not get an A on any quiz while the rest of the students got an A (aced) on at least one quiz. 21 students aced X, 19 students aced Y, and 17 students aced Z. 9 students aced both X and Y, 11 students aced both X and Z, and 8 students aced both Y and Z. How many students aced at least one quiz? *

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
icon
Related questions
Question

Discrete Math

19
36 students take the Discrete Structures class. They had 3 quizzes called X, Y, and Z.
Surprisingly, only 1 student did not get an A on any quiz while the rest of the students got an
A (aced) on at least one quiz.
21 students aced X, 19 students aced Y, and 17 students aced Z.
9 students aced both X and Y, 11 students aced both X and Z, and 8 students aced both
Y and Z.
How many students aced at least one quiz? *
Transcribed Image Text:19 36 students take the Discrete Structures class. They had 3 quizzes called X, Y, and Z. Surprisingly, only 1 student did not get an A on any quiz while the rest of the students got an A (aced) on at least one quiz. 21 students aced X, 19 students aced Y, and 17 students aced Z. 9 students aced both X and Y, 11 students aced both X and Z, and 8 students aced both Y and Z. How many students aced at least one quiz? *
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning