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Suppose A1,A2….,A30 are thirty sets, eac...

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 :

A

15

B

3

C

45

D

35

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The correct Answer is:
C
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