India today conducted a survey if people taking tea/ coffee. Out of 9000 people, 5550 people take tea, 3600 people take coffee and 1500 people take both tea and coffee. How many people take neither tea nor coffee?
Answer & explanation
Correct answer: option 4
T - Tea C - Coffee U - Universal set
$n(U)=9000$
$n(T) = 5550$
$n(C) = 3600$
$n(T∩C) = 1500$
so $n(T∪C) =n(T)+n(C)-n(T∩C)$
$=5550+3600-1500=7650$
so $n(\overline{T∪C}) =n(U)-n(T∪C)$
($n(\overline{T∪C})$ → people who neither drink coffee nor tea)
$=9000-7650=1350$