In a family gathering there were the following people - a grandfather, a grandmother, two fathers, two mothers, four children, three grandchildren, a brother, two sisters, two sons, two daughters, a father-in-law, a mother-in-law and a daughter-in-law. What was the minimum number of people in the family gathering?

In a family gathering there were the following people - a grandfather, a grandmother, two fathers, two mothers, four children, three grandchildren, a brother, two sisters, two sons, two daughters, a father-in-law, a mother-in-law and a daughter-in-law. What was the minimum number of people in the family gathering? Correct Answer 7

Preparing the family tree using the following symbol:

According to the given information following conditions should be as follows;

• The grandfather is also a father and a father-in-law.
• The grandmother is also a mother and a mother-in-law.
• The father is also his parents’ son (and child).
• The daughter-in-law is also a mother.
• The grandson is also a brother and his parents’ son (and child).
• The two granddaughters are also sisters and their parent's daughters (and children).

The Family tree is shown as;

[ alt="F1 Pooja Madhu 21.07.21 D2" src="//storage.googleapis.com/tb-img/production/21/07/F1_Pooja_Madhu_21.07.21_D2.png" style="width: 394px; height: 238px;">

So; the data of family members are;

• One grandfather
• One grandmother
• Two fathers (grandfather, father)
• Two mothers (grandmother, daughter-in-law)
• Four children (father, grandson, 2 granddaughters)
• Three grandchildren (grandson, 2 granddaughters)
• One brother (grandson)
• Two sisters (2 granddaughters)
• Two sons (father, grandson)
• One father-in-law (grandfather)
• One mother-in-law (grandmother)
• One daughter-in-law

Hence, the Minimum number of members in the family is 7.