In a certain town, 
families own a phone and 
own a car, 
families own neither a phone nor a car, 2000 families own both a car and a phone. Consider the following statements in this regard:
(I) 
families own both a car and a phone.
(II) 
families own either a car or a phone.
(III) 40,000 families live in the town.
Which of the above statements are correct?
Text Solution
Verified by ExpertsC
Let 
and 
denote the sets of all families, families owning phone and families owning car respectively. Let total number of families be 
.
of 
of 
,
Now, 
Also, 
∴ Statement ' (III) ' is correct.
∴ Statement ' (I) ' is incorrect.
∴ Statement ' (II) ' is correct.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems