In the New Year’s party 500 were invited. 200 people opted for Indian food, 150 eaten Italian food and 100 people took continental food. 14 people have taken only both Indian and Italian food, 10 people have taken only both Italian and continental food and 15 people have eaten only both Indian and continental food. 6 people have taken all three kind of food. Find how many people have not attended the party?

Question

Question

Answer 1

Total number of people taken Italian food = 150

Total number of people taken Indian food = 200

Total number of people taken Continental food = 100

Total number of people taken only both Italian and Indian food = 14

Total number of people taken only both Italian and Continental food = 10

Total number of people taken only both Continental and Indian food = 15

Total number of people taken all three kind of food = 6

Total number of people invited in the party = 500

Total number of people taken only Indian food = 200 - 14 - 15 - 6 = 165

Total number of people taken only Italian food = 150 - 14 - 10 - 6 = 120

Total number of people taken only Continental food = 100 - 10 - 15 - 6 = 69

F1 Aprajita Shraddha 20.01.2022 D1

So,

Total Number of people who did not attend the party

= 500 - (120 + 10 + 6 +14 + 69 + 15 +165) = 500 - 399 = 101

Hence, 101 people did not attend party.