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Given: n(A) = 11, n(B) = 6, n(U) = 15. Find the smallest possible value of n(A ∩ B).

Mathematics

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1. Set Theory Problem
Given: n(A) = 11, n(B) = 6, n(U) = 15. Find the smallest possible value of n(A ∩ B).

  1. Recall the formula for the union of two sets

    n(A U B) = n(A) + n(B) - n(A ∩ B)

  2. Substitute the given values

    n(A U B) = 11 + 6 - n(A ∩ B)
    n(A U B) = 17 - n(A ∩

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