Let Ui = 1 Xi for i ∈ 50 = Ui = 1 for i ∈ n Yi = T, where each Xi

1.	Let Ui = 1 Xi for i ∈ 50 = Ui = 1 for i ∈ n Yi = T, where each Xi contains 10 elements and each Yi contains 5 elements. If each element of the set T is an element of exactly 20 of sets Xi 's and exactly 6 of sets Yi 's, then n is equal to :(1) 45 (2) 15 (3) 50 (4) 30
Answer» (4) 30 n(X_i) = 10. U_{i = 1}X_i for i ∈ 50 = T, n (T) = 500 each element of T belongs to exactly 20 elements of X_i = 500/20 = 25 distinct elements So 5n/6 = 25 n = 30

Let Ui = 1 Xi for i ∈ 50 = Ui = 1 for i ∈ n Yi = T, where each Xi contains 10 elements and each Yi contains 5 elements. If each element of the set T is an element of exactly 20 of sets Xi 's and exactly 6 of sets Yi 's, then n is equal to :(1) 45 (2) 15 (3) 50 (4) 30

Answer»

(4) 30

n(X_i) = 10. U_{i = 1}X_i for i ∈ 50 = T,

n (T) = 500 each element of T belongs to exactly 20 elements of

X_i = 500/20 = 25 distinct elements

So 5n/6 = 25

n = 30

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Let Ui = 1 Xi for i ∈ 50 = Ui = 1 for i ∈ n Yi = T, where each Xi contains 10 elements and each Yi contains 5 elements. If each element of the set T is an element of exactly 20 of sets Xi 's and exactly 6 of sets Yi 's, then n is equal to :(1) 45 (2) 15 (3) 50 (4) 30

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