Suppose A₁, A2, ..., A30 are thirty sets each having 5 elements and B₁, B₂, ..., B₁ are n sets each having 3 elements. Let n 30 n B. = S and each element of S belongs to exactly

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

H2

Suppose A₁, A2, ..., A30 are thirty sets each having 5 elements
and B₁, B2, ..., B₁ are n sets each having 3 elements. Let
30
n
U4 = UB, =S and each element of S belongs to exactly
i=1
j=1
10 of the A's and exactly 9 of the B;'s, then find the value of n.
Transcribed Image Text:Suppose A₁, A2, ..., A30 are thirty sets each having 5 elements and B₁, B2, ..., B₁ are n sets each having 3 elements. Let 30 n U4 = UB, =S and each element of S belongs to exactly i=1 j=1 10 of the A's and exactly 9 of the B;'s, then find the value of n.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
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,