Explanation:

- We need a team of three doctors, two male engineers, and two teachers.

- The team cannot have a male doctor with a female teacher.

- The team cannot have a male engineer with a female doctor.

- No more than two male teachers are allowed.

Now let's evaluate the options:

1. Option 1: 345KLMN

- Doctors 3, 4, 5 are male, avoiding female teacher conflict.

- Engineers K, L are male.

- Teachers M, N are male.

2. Option 2: 123KLMR

- Doctors 1, 2, 3 include females, conflicting with male engineers K, L.

3. Option 3: 345KLPR

- Follows the rule about male doctors and teachers.

- P is a female teacher, causing a conflict with male doctors.

4. Option 4: 12HMRPQ

- Contains female and male doctor conflict due to H and R.

Given the conditions, Option 1: 345KLMN satisfies all requirements.