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Suppose A1 , A2 ..... A30 are thirty set...

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

A

15

B

135

C

45

D

90

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The correct Answer is:
C
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