220 students were asked if they liked chocolate or vanilla ice cream. 140 said they liked chocolate and 120 said they liked vanilla. How many students liked both chocolate and v…

Question

asked May 4, 2017 28.0k views

1 Answer

Dus · Answer 1 · 2017-05-10T13:45:21+0000

Answer: D. 40

Explanation:

Given: Number of students liked vanilla or chocolate ice cream =
$n(V\cup C)=220$

Number of students liked chocolate =
n(C)=140

Number of students liked vanilla=
n(V)=120

Now, Number of students liked vanilla and chocolate ice cream is given by :-

$n(V\cap C)=n(C)+n(V)-n(V\cup C)\\\\\Rightarrown(V\cap C)=140+120-220\\\\\Rightarrown(V\cap C)=260-220\\\\\Rightarrown(V\cap C)=40$

Number of students liked vanilla and chocolate ice cream= 40