1.

Let X = {n ∈ N : 1 ≤ n ≤ 50}. IfA = {n ∈ X : n is multiple of 2} andB = {n ∈ X : n is a multiple of 7}, then the number of elements in the smallest subset of X containing both A and B is_____

Answer»

n(A) = 25

n(B) = 7

n(A ∩ B) = 3

n(A ∪ B) = 25 + 7 - 3 = 29

n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

= 25 + 7 – 3 = 29



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