Ex 1.6, 1 - Chapter 1 Class 11 Sets (Term 1)

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Ex 1.6, 1 If X and Y are two sets such that n(X) = 17, n(Y) = 23 and n (X ∪ Y) = 38, find n(X ∩ Y). n(X) = 17, n(Y) = 23, n(X ∪ Y) = 38 n(X ∩ Y) = ? We know that: n(X ∪ Y) = n(X)+ n(Y) – n(X ∩ Y) 38 = 17 + 23 – n(X ∩ Y) 38 = 40 – n(X ∩ Y) n(X ∩ Y) = 40 – 38 n(X ∩ Y) = 2