`U_1,U_2,....U_(15)` are sets each containing 2 elements and each element belong to 3 sets. `V_1,V_2,....V_(10)` are 10 sets all having same cardinal number 'n' and each element belong to 4 sets.

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_(20) are twenty sets each having 5 elemennts and B_(1),B_(2),………..,B_(n) are n sets each having 2 elements. Let U_(i=1)^(20)A_(i)=S=U_(f=1)^(n)B_(f) . If each element of S belong to exactly 10 of the A_(i)^(')s and to exactly 4 of the B_(i)^(')s then n is (i) 10 (ii) 20 (iii) 100 (iv) 50

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 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 A1,A2,…..A30 are thirty sets each having 5 elements and B1,B2,…….Bn are n sets each having 3 elements.Let each elements of S belongs to exactly 10 of A1,'s and exactly 9 of B1's.Then find the value of n.

Set A contains 3 elements and set R contains 2 elements. The number of onto functions from A onto B is

If a set A contains 10 elements and a set B contains 20 elements then the numbers of functions from A into B is