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?

Total of 40 people

just cooked food : 4
just washed dishes : 4
just worked register : 14
cooked food and washed dishes : 3
washed dishes and worked register : 6
worked register and cooked : 1
did all 3 : 1
did none of them : 7

 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.

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.

It is e) i am not sure if you have any questions or need any