Suppose A1, A2,.....................A30 are thirty sets each having 5 elements and B1, B2,................Bn are n sets each with 3 elements, let 30⋃i=1Ai=n⋃j=1Bj=S and each element of S belongs to exactly 10 of Ai'S and exactly 9 of the Bj'S. Then n is equal to

Suppose A1, A2,.....................A30 are thirty sets each having 5

1.	Suppose A1, A2,.....................A30 are thirty sets each having 5 elements and B1, B2,................Bn are n sets each with 3 elements, let 30⋃i=1Ai=n⋃j=1Bj=S and each element of S belongs to exactly 10 of Ai'S and exactly 9 of the Bj'S. Then n is equal to
Answer» Suppose $A_{1}, A_{2}, . . . . . . . . . . . . . . . . . . . . . A_{3} 0$ are thirty sets each having 5 elements and $B_{1}, B_{2}, . . . . . . . . . . . . . . . . B_{n}$ are n sets each with 3 elements, let $30 ⋃ i = 1$ $A_{i}$ = $n ⋃ j = 1$ $B_{j} = S$ and each element of S belongs to exactly 10 of $A_{i}$ 'S and exactly 9 of the $B_{j}$ 'S. Then $n$ is equal to