Ex 1.6, 5 - If X has 40 elements, X U Y 60 elements, find Y - Number of elements in set  - 2 sets - (Using properties)

  1. Chapter 1 Class 11 Sets
  2. Serial order wise
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Ex 1.6, 5 If X and Y are two sets such that X has 40 elements, X ∪ Y has 60 elements and X ∩ Y has 10 elements, how many elements does Y have? In this question, We are given number of elements of a set, its union, and its intersection We need to find number of elements of the other So, we put values in the formula and find the answer Let's do it Given n(X) = 40, n(X ∪ Y) = 60, n(X ∩ Y) = 10 We know that: n(X Y) = n(X) + n(Y) n(X Y) 60 = 40 + n(Y) 10 60 = 40 10 + n(Y) 60 = 30 + n(Y) n(Y) = 60 (30) n(Y) = 30 Thus, the set Y has 30 elements.

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