Mathematics · Sets and Relations
Suppose A1, A2, ..., A30 are thirty sets each having 5 elements and B1, B2, ..., Bn are n sets each with 3 elements, let ∪i=130 Ai = S = ∪j=1n Bj and each element of S belongs to exactly 10 of the Ai's and exactly 9 of the Bj's. Then n is equal to:
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