There are 18 students who like snickers but not twix or reese's peanut butter cups.
Given, that 500 high school students was taken to determine their favorite chocolate candy.
118 like snickers, 185 like twix, 179 like reese's peanut butter cups,
60 like snickers and twix, 87 like twix and reese's peanut butter cups, 57 like snickers and reese's peanut butter cups,
and 17 like all three kinds of chocolate candy.
Let A = Set of students like snickers
B = Set of students like twix
C = Set of students like reese's peanut butter cups
Now, we have to find the number of students like snickers but not twix or reese's peanut butter cups i.e. A - A∩B - A∩C + A∩B∩C
A - A∩B - A∩C + A∩B∩C = 118 - 60 - 57 + 17
A - A∩B - A∩C + A∩B∩C = 135 - 117
A - A∩B - A∩C + A∩B∩C = 18
Hence, there are 18 students who like snickers but not twix or reese's peanut butter cups.
Learn more about Sets here https://brainly.com/question/24462379
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