Let A, B, and C be sets in a universal set U. We are given n(U) = 88, n(A) = 47, n(B) = 42, n(C) = 50, n(A ∩ B) = 26, n(A ∩ C) = 23, n(B ∩ C) = 23, n(A ∩ B ∩ CC) = 15. Find the following values. (a)    n((A ∪ B ∪ C)C) (b)    n(AC ∩ BC ∩ C)

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

Let AB, and C be sets in a universal set U. We are given n(U) = 88, n(A) = 47, n(B) = 42, n(C) = 50, n(A ∩ B) = 26, n(A ∩ C) = 23, n(B ∩ C) = 23, n(A ∩ B ∩ CC) = 15. Find the following values.

(a)    n((A ∪ B ∪ C)C)


(b)    n(AC ∩ BC ∩ C)
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar 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,