In a population of 1000 people, 700 people play football, 600 people play cricket, and 100 people play both. Is the data correct?(a) True(b) FalseI had been asked this question by my college professor while I was bunking the class.Question is taken from Practical Problems on Union and Intersection of Two Sets topic in chapter Sets of Mathematics – Class 11

In a population of 1000 people, 700 people play football, 600 people p

1.	In a population of 1000 people, 700 people play football, 600 people play cricket, and 100 people play both. Is the data correct?(a) True(b) FalseI had been asked this question by my college professor while I was bunking the class.Question is taken from Practical Problems on Union and Intersection of Two Sets topic in chapter Sets of Mathematics – Class 11
Answer» Correct choice is (b) False The best explanation: Given, n(U)=1000, n(F)=700, n(C)=600, n(F∩C) =100 n (F∪C) = n (F) + n (C) – n(F∩C) n (F∪C) = 700+600-100=1200 We KNOW, n (A∪O) ≤ n(U). Here this is not valid so, data is incorrect.

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