There are 7 family members: P, Q, R, S, T, U and V going to a party. There are three generations in which only two are married couples. P is the grandfather of U who is a male. R is the son in law of S. V is the son of Q. S has only two children, both of the same gender. T is the sister in law of R.
How many males are there?
Family Tree Deduction
Determine the total number of males among the 7 family members using the provided relationship clues.
Identify Known Genders
- P is the grandfather of U (Male). Therefore, P is Male (M). U is Male (M).
- R is the son-in-law. Therefore, R is Male (M).
- V is the son of Q. Therefore, V is Male (M).
- S has two children of the same gender. R is S's son-in-law, meaning R married S's daughter. Thus, S's children must be Female (F). Let these daughters be D1 and D2.
- T is the sister-in-law of R. Since R is married to D1, T must be the sister of D1. Therefore, T is Female (F).
- Since D1 and T are daughters of S, S is Female (F).
Establish Family Structure
Current list of members and determined genders:
- Males: P, R, U, V (Count: 4)
- Females: S, T, D1 (Count: 3)
The 7 members are P, Q, R, S, T, U, V. V (Male) is the son of Q, implying Q is a parent in the second generation.
A structure satisfying all conditions (3 generations, 2 couples) is:
- Couple 1 (Generation 1): P (M) and S (F)
- Children (Generation 2): D1 (F) and T (F) (S's daughters)
- Couple 2 (Generation 2): R (M) married to D1 (F) (R is S's son-in-law)
- Child (Generation 3): U (M) (child of R and D1; P is grandfather)
- Final Placement: The remaining member is Q. Since V (M) is the son of Q, and Q must be a Gen 2 parent, Q must be T. So, Q = T. V is the son of T.
Calculate Total Males
The males identified in the family are:
- P
- R
- U
- V
Total count of males is 4.
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