In a class of 100 computer science students, 60 know Python, 36 know Java, and 52 know C++. 18 know both Python and Java, 32 know both Python and C++, and 16 know both Java and C++. If 10 students know none of these languages, then how many students know all of these languages? Show your work, using the Principle of Inclusion-Exclusion. Do NOT show a Venn diagram as your only work.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
In a class of 100 computer science students, 60 know Python, 36 know Java,
and 52 know C++. 18 know both Python and Java, 32 know both Python and C++, and
16 know both Java and C++.
If 10 students know none of these languages, then how many students know all of these
languages?
Show your work, using the Principle of Inclusion-Exclusion. Do NOT show a Venn
diagram as your only work.
Transcribed Image Text:In a class of 100 computer science students, 60 know Python, 36 know Java, and 52 know C++. 18 know both Python and Java, 32 know both Python and C++, and 16 know both Java and C++. If 10 students know none of these languages, then how many students know all of these languages? Show your work, using the Principle of Inclusion-Exclusion. Do NOT show a Venn diagram as your only work.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,