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

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

A

1) 15

B

2) 3

C

3) 45

D

4) 35

Text Solution

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The correct Answer is:
C
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