Let `uuu_(i=1)^(50)X_(i)=uuu_(i=1)^(n)Y_(i)=T`, where each `X_(i)` contains 10 elements and each `Y_(i)` contains 5 elements. If each element of the set T is an element of exactly 20 of sets `X'_(i)s` and exactly 6 of sets `Y'_(i)s`, then n is equal to:

Each set X_r contains 5 elements and each set Y_r contains 2 elements and uu_(r=1)^(20) X_r =S=uu_(r=1)^n Y_r . If each element of S belongs to exactly 10 of the X'_r s and to exactly 4 of the Y'_r s , then n is :

Suppose x_1,x_2,….x_(50) are 50 sets each having 10 elements and Y_1,Y_2,….Y_n are n sets each having 5 elements. Let uu_(i=1)^50 X_i=uu_(i=1)^n Y_i=Z and each element of Z belong to exactly 25 of X_i and exactly 6 of Y_i then value of n is

Suppose x_1,x_2,….x_(50) are 50 sets each having 10 elements and Y_1,Y_2,….Y_n are n sets each having 5 elements. Let uu_(i=1)^50 X_i=uu_(i=1)^n Y_i=Z and each element of Z belong to exactly 25 of X_i and exactly 6 of Y_i then 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) 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