Arestaurant compiled the following information regarding 40 of its employees. of these employees, 9 cooked food, 14 washed dishes, 22 operated the cash register, 4 cooked food and washed dishes, 2 cooked food and operated the cash register, 7 washed dishes and operated the cash register, and 1 did all three jobs. complete parts a) through e) below. a) how many of the employees only cooked  food?

 2

Step-by-step explanation:

Let Set A represents the number of employees cooked food.

Set B represents the number of employees washed dishes.

Set C represents the number of employees operated the cash register .

Given : n(A)=9 ; n(B)=14 ; n(C)=22

n(A∩B)=4 ; n(A∩C) = 2 ; n(B∩C)=7 ; n(A∩B∩C)=1

Using the given information, we have made a Venn diagram below.

Using Venn diagram , we have

n(only A)= n(A)-(n(A∩B)+n(A∩C)+n(A∩B∩C))

⇒n(only A)=9-(4+2+1)=9-7=2

Hence, 2 employees only cooked food.