Let `A_1 , A_2 , ....., A_m` be m sets such that `O(A_i)` = p for i = 1,2,....,m and `B_1 , B_2,....,B_n` sets such that `O(B_j) = q` for j = 1,2,....,n. If `uuu_(j=1)^m A_i = uuu_(j=1)^n B_j = S` and each element of S belongs to exactly `alpha` number of `A_j`'s and `beta` number of `B_j`'s, then

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 3 elements. Let uuu_(i = 1)^30 A_i = uuu_(i=1)^n = S. Assume that each element of S belongs to exactly 10 elements of A_i and exactly 9 of B_j. Find n

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 3 elements. Let uuu_(i = 1)^30 A_i = uuu_(i=1)^n = S . Assume that each element of S belongs to exactly 10 elements of A_i and exactly 9 of B_j . Find n

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 such that cap_(i=1)^30 A_i = cap_(j=1)^n B_j = S . If each elements of S belongs to exactly ten of the A_i s and exactly nine of the B_j's then the value of n is

Suppose A_1,A_2 …., A_30 are thirty sets, each having 5 elements and B_1,B_2 ,….., B_n are n sets , each with 3 elements, let uu_(i=1)^(30)A_i = uu_(j=1)^(n)B_j=S and each element of S belongs to exactly 10 of A'_i and exactly 9 of B'_j . Then n is equal to :

Suppose, A_(1),A_(2),"……..",A_(30) are thirty sets each having 5 elements and B_(1), B_(2), B_(n) sets each with 3 elements, let underset(i=1)overset(30)(uu) A_(i) = underset(j=1)overset(n)(uu) B_(j) =S and each element of S belongs to exactly 10 of the A_(i)'s and exactly 9 of the B_(j)'s . Then, n is equal to