Problem Solving

At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
2
3
4
5
6


Is the right answer 2 ?

f,d,s.
19->f, 18->d and 12->s
4-> 2
x->3
Thus 39 = 19+18+12 - 4 (exactly 2..) + x
x=6