Step-by-Step Gender Deduction

To find the number of males in the group, we must first determine the gender of each of the six individuals by analyzing their professions and relationships as described in the clues.

1. Analyzing the Clues to Determine Gender

• Clue: "No woman in the group is either an engineer or an accountant."
  Deduction: This directly implies that the Engineer and the Accountant must be male.
• Clue: "C, the accountant..."
  Deduction: From the above rule, we know C is male.
• Clue: "...is married to F, who is professor."
  Deduction: Since C is male, his wife F must be female.
• Clue: "A is married to a housewife."
  Deduction: Since a housewife is female, her husband A must be male. (We also deduce from other clues that A is the lawyer and is married to D).
• Clue: "D, who is housewife."
  Deduction: D is a housewife, therefore D is female.
• Final Deduction for B and E: The remaining people are B and E. The remaining professions are one Housewife and one Engineer. Since the Engineer must be male, E is the male Engineer (as he is "not a housewife"). This leaves B to be the final Housewife, making B female.

2. Final Count of Male Members

Let's list the gender of each person:

• A: Male
• B: Female
• C: Male
• D: Female
• E: Male
• F: Female

Counting the male members (A, C, and E), we find there are 3 in total.

Conclusion

There are 3 male members in the group.