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?
NCERT Solutions for Class 11th Mathematics Chapter 1 Exercise 1.6 2
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n(X∪Y)= n(X) + n(Y) - n(X∩Y)
18 = 8 + 15 - n(X∩Y)
n(X∩Y)= 5
18 = 8 + 15 - n(X∩Y)
n(X∩Y)= 5
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