Example 23 - If X U Y has 50 elements, X has 28 and Y has 32

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Question 1 If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elements & Y has 32 elements, how many elements does X ∩ Y have ? n (X ∪ Y) = 50, n (X) = 28, n (Y) = 32, n (X ∩ Y) = ? By using the formula n ( X ∪ Y ) = n ( X ) + n ( Y ) – n ( X ∩ Y ), 50 = 28 + 32 – n ( X ∪ Y ) n ( X ∪ Y ) = 60 – 50 n ( X ∪ Y ) = 10

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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.