Ex 1.6, 2 - If X U Y has 18 elements, X has 8 elements - Ex 1.6

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Question 2 If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 elements and Y has 15 elements; how many elements does X ∩Y have? Given, n(X ∪ Y) = 18, n(X) = 8, n(Y) = 15 n(X ∩ Y) = ? We know that: n(X ∪ Y) = n(X) + n(Y) - n(X ∩ Y) 18 = 8 + 15 – n(X ∩ Y) 18 = 23 – n(X ∩ Y) n(X ∩ Y) = 23 – 18 n(X ∩ Y) = 5

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.