Suppose A1, A2, ..., 430 are thirty sets each having 5 elements and B₁, B2, ..., B₁ are n sets each having 3 elements. Let n 30 n U4 = UB, S and each element of S belongs to exactly i=1 j=1 of tha

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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.
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