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[" Example "6." suppose "A(1),A(2),...,A...

[" Example "6." 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 "quad uu NA_(i)=hat mu_(1)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)" .F.Find "n" ."]

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Suppose A_(1),A_(2),…,A_(30) are 30 sets each with 5 elements and B_(1),B_(2),…,B_(n) are n sets each with 3 elements. Let underset(i=1)overset(30)uu A_(i)=underset(j=1)overset(n)uu B_(j) Assume that each element of S belongs to exactly ten A_(i) ' s and to exactly nine of the B_(j) 's then n =

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