From amongst five doctors A, B, C, D and E, four engineers G, H, K and L and six teachers M, N, O, P, Q and R, some teams are to be selected. of these A, B, G, H, O, P and Q are females and the rest are males. The formation of teams is subject to the following conditions:
(i) Whenever there is a male doctor, there will be no female teacher.
(ii) Whenever there is a male engineer, there will be no female doctor
(iii) Three shall not be more than two male teachers in any team
If the team consists of two doctors, two female teachers and two engineers, all the following teams are possible except:
Explanation:
The doctors are A, B, C, D and E; female teachers are O, P and Q; engineers are G, H, K and L. Since two female teachers are to be selected, so male doctors i.e. C, D and E cannot be selected, Thus, the two doctors selected will be A and B. Both the doctors are females. So, male engineer k or L cannot be selected and G and H are to be chosen.
Clearly, the only impossible team is A B K L P Q. Hence, option 4 is correct.