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Suppose A1,A2….. A(30) are thirty sets e...

Suppose `A_1,A_2….. A_(30)` are thirty sets each having 5 elements and `B_1B_2…..B_n` are n sets each having 3 elements ,Let `overset(30)underset(i=1)bigcupA_1=overset(n)underset(j=1)bigcupB_j=s`
and each element of S belongs to exactly 10 of the `A_1` and exactly 9 of the value of n.

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To solve the problem, we will follow these steps: ### Step 1: Calculate the total number of elements contributed by the sets \( A_1, A_2, \ldots, A_{30} \). Each set \( A_i \) has 5 elements, and there are 30 such sets. Therefore, the total number of elements contributed by all the sets \( A_i \) is: \[ \text{Total elements from } A = 30 \times 5 = 150 ...
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