Practicing Success
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? |
350 700 1120 1350 |
1350 |
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) $=9000-7650=1350$ |