A government is assigning each of six embassy office workers - Farr, Golden, HayaKawa, Inserra, Jones, and Kovacs to embassies. There are four embassies. Embassies L and M are located in countries with dry climates, whereas embassies P and T are located in countries with humid climates.The office workers must be assigned according to the following rules :
Each embassy must have at least one of the workers assigned to it.
At least one embassy in a humid climate must have at least two workers assigned to it.
Golden cannot be assigned to the same embassy as Kovacs.
Inserra must be assigned to an embassy in a dry climate.
Jones must be assigned to an embassy in a humid climate.
Which of the following $\text{CANNOT}$ be true?
- One worker is assigned to L.
- Two worker are assigned to P.
- Two workers are assigned to L.
- Three workers are assigned to M.
- Three workers are assigned to T.