043
42 m
Suppose A1, A2, ...., A30 are thirty sets
each having 5 elements and B1, B2, ...., Bn
are n sets each with 3 elements, let
30
U A; = U B; = S and each element of S
i=1 j=1
belongs to exactly 10 of the A's and exactly 9
of the B's. Then n is equal to
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