Explanation:

Let’s break it down:

- Female doctors: 1, 2

- Female engineers: G, H

- Female teachers: O, P, Q

- Team has: 2 doctors, 1 engineer, 4 teachers

Rules:

- Any male doctor ? can’t have female teachers

- Any male engineer ? can’t have female doctors

- Max 2 male teachers in a team

Now, look at the team options (all start with 1, 2—so two female doctors):

Option 1: 12GMNOP

- Doctors: 1 (F), 2 (F)

- Engineer: G (F)

- Teachers: M (M), N (M), O (F), P (F)

- No male doctors, no male engineer.

- Two male teachers—rule okay.

- Female doctors allowed, female teachers okay.

This team is possible.

Option 2: 12KNRPQ

- Doctors: 1 (F), 2 (F)

- Engineer: K (M)

- Teachers: N (M), R (M), P (F), Q (F)

- Team has a male engineer (K).

- Team has two female doctors: Not allowed with male engineer.

- Breaks rule—not possible.

Option 3: 12HMOPQ

- Doctors: 1 (F), 2 (F)

- Engineer: H (F)

- Teachers: M (M), O (F), P (F), Q (F)

- All rules followed, no conflicting genders/roles.

This team is possible.

Option 4: 12HMRPQ

- Doctors: 1 (F), 2 (F)

- Engineer: H (F)

- Teachers: M (M), R (M), P (F), Q (F)

- Two male teachers—rule okay.

- All other gender and role rules followed.

This team is possible.

# So, the only impossible team is Option 2: 12KNRPQ, because a male engineer can’t team up with a female doctor.

Correct Answer:

Option 2: 12KNRPQ