Out of the guests invited to the New Year's party, opted for Indian food, had Italian food, and had Continental food. Additionally, guests had both Indian and Italian food, had both Italian and Continental food, and had both Indian and Continental food. Seven guests had all three types of food. How many guests did not attend the party?
- A145
- B134
- C120
- D136
Solution & Step-by-step Explanation
Let's calculate the unique distributions assuming values for common items act as exclusive subsets for dual pairs:
* Only all three types
* Only Indian and Italian
* Only Italian and Continental
* Only Indian and Continental
Subtracting components to isolate individual categories:
* Only Indian
* Only Italian
* Only Continental
Sum of all attending guests who ate:
* Only all three types
* Only Indian and Italian
* Only Italian and Continental
* Only Indian and Continental
Subtracting components to isolate individual categories:
* Only Indian
* Only Italian
* Only Continental
Sum of all attending guests who ate: