The game involves four product managers - F, G, H, and I sent to visit three cities - M, S and T. Each manager will visit at least one of the cities, and each city will be visited by exactly two managers, meaning there are six visits total.
___ ___ ___ ___ ___ ___
M S T
The following rules apply:
(1) I must visit exactly 2 of the cities.
This rule tells us that there are 4 visits left to be assigned to the remaining 3 managers meaning none of the managers could visit all 3 cities, but one of the remaining managers must visit 2 cities, and two managers must visit one city each. 2 (I) -2 -1 -1 is the overall distribution of visits.
(2) F & H cannot visit the same city as each other.
~FH
(3) If M is visited by G, then T must be visited by H
M (G) -> T(H)
(4) G cannot visit Sydney
S (~G)
___ I ___ ___ F/H ___
M S T ~G
This rule tells us that we must pick 2 managers from F H I to visit Sydney. Since F & H cannot visit the same city per rule (2), we must pick I to visit Sydney and either F/H.
The question asks which of the following could be an assignment of managers to cites:
(A) is incorrect because I must visit 2 cities (B) is incorrect because I must visit S. (C) is correct and complies with all the rules. (D) is incorrect because if G visits M, H must visit T (E) is incorrect because F & H cannot visit the same city.
