In a party of 120 people, 60 people will choose Ice tea, 24 people will choose Ice cream and 17 people will choose Cold Coffee. 12 people chose Ice Tea & Ice cream, 8 people chose Ice Cream & Cold Coffee., 3 people chose Cold Coffee & Ice tea. 1 person consumed all three. How many opted for none of the three things mentioned?
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A∪B∪C = A + B + C - (A n B + B n C + C n A) + (A n B n C)
A is the set of people who chose Ice Tea = 60
B is the set of those who chose Ice Cream = 24
C is the set of those who chose Cold Coffee = 17.
So, AUBUC = 60 + 24 + 17 - (12 + 8 + 3) + 1 = 79.
Number of people who selected none of the 3 items = 120 - 79 = 41.
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Step-by-step explanation:
=> A∪B∪C = A + B + C - (A n B + B n C + C n A) + (A n B n C)
=> A is the set of people who chose Ice Tea = 60
=> B is the set of those who chose Ice Cream = 24
=> C is the set of those who chose Cold Coffee = 17.
=> So, AUBUC = 60 + 24 + 17 - (12 + 8 + 3) + 1 = 79.
=> Number of people who selected none of the 3 items = 120 - 79 = 41.
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