Suppose A1,A2,....,A30 are thirty sets, each having 5 elements and B1,B2,.....,Bn are n sets..#Sets

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Suppose A1,A2,....,A30 are thirty sets, each having 5 elements and B1,B2,.....,Bn are n sets, each with 3 elements.
Let ⋃30i=1Ai=⋃ni=1Bj=S. Each element of S belongs to exactly 10 of the Ais and exactly 9 of the Bis. Then n is equal to
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