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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 vanilla? A. 260

B100
C80
D40

Verified Answer :

JeanaShupp

Answer: D. 40

Step-by-step 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

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