In an orchestra, 20 people can play stringed instruments, 18 can play brass, and 14 can play percussion. Further, 8 of the performers can play both strings and brass, whereas 8 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in the orchestra? (Hint: Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown, say x.) The maximum number of people is and the minimum number of people is
In an orchestra, 20 people can play stringed instruments, 18 can play brass, and 14 can play percussion. Further, 8 of the performers can play both strings and brass, whereas 8 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in the orchestra? (Hint: Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown, say x.) The maximum number of people is and the minimum number of people is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:12 (9 complete) ▼
HW Score: 36.5%, 4.38 of 12 pts
2.4.31
Question Help ▼
In an orchestra, 20 people can play stringed instruments, 18 can play brass, and 14 can play percussion. Further, 8 of the performers can play both strings and brass,
whereas 8 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in the
orchestra? (Hint: Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown, say x.)
The maximum number of people is
and the minimum number of people is.
Enter your answer in the edit fields and then click Check Answer.
Check Answer
Clear All
All parts showing
SAMSUNG
Expert Solution
Given conditions.
Consider the possible events to create the orchestra.
A : People who plays stringed instruments.
B : People who plays brass.
C : People who plays percussion.
A int B : People who plays stringed instruments and brass.
B int C : People who plays brass and percussion.
C int A : People who plays percussio and stringed instruments.
A int B int C : People who plays stringed instruments, brass and percussion.
A U B U C = People who are in orchestra or plays atleast one instrument.
Note that ( U ) , ( int ) represents union and intersection of sets.
| X | represents the cardinality of the set X.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
