InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Which of the following is correct?(a) n (A ∪ B) = n (A) + n (B) + n (A ∩ B)(b) n (A ∪ B) = n (A) – n (B) – n (A ∩ B)(c) n (A ∪ B) = n (A) + n (B) – n (A ∩ B)(d) n (A ∩ B) = n (A) + n (B) + n (A ∪ B)I had been asked this question during an internship interview.This key question is from Practical Problems on Union and Intersection of Two Sets topic in section Sets of Mathematics – Class 11 |
|
Answer» RIGHT answer is (C) n (A ∪ B) = n (A) + n (B) – n (A ∩ B) For explanation I would say: In the VENN DIAGRAM, n (A ∪ B) = a + b + c n(A) = a + c, n(B) = b + c and n (A ∩ B) = c n (A) + n (B) – n (A ∩ B) = (a + c) + (b + c)-c = a + b + c. Hence, n (A ∪ B) = n (A) + n (B) – n (A ∩ B). |
|