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Suppose A(1), A(2),….,A(30) are thirty s...

Suppose `A_(1), A_(2),….,A_(30)` are thirty sets each with five elements and `B_(1), B_(2),….,B_(n)` are n sets each with three elements.
Let `underset(i=1)overset(30)(uu)A_(i)=underset(j=1)overset(n)(uu)B_(j)=S`
Assume that each element of S belongs to exactly ten of the `A_(i)'s` and exactly to nine of the `B_(j)'s`. Find n.

A

45

B

35

C

40

D

30

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
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  16. If X and Y are two non-empty sets, then what is (X - Y)' equal to

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  17. If A, B and C are three finite sets, then what is , [(A uu B) nn C]' e...

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