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In a family there are 3 married couples, 2 married sons, 1 grandson, 3 fathers, 3 mothers, 2 mothers-in-law, 2 fathers-in-law, 2 daughters-in-law, 2 unmarried daughters, 2 unmarried granddaughters and 1 unmarried great granddaughter. What is the LEAST number of members in the family?

In a family there are 3 married couples, 2 married sons, 1 grandson, 3 fathers, 3 mothers, 2 mothers-in-law, 2 fathers-in-law, 2 daughters-in-law, 2 unmarried daughters, 2 unmarried granddaughters and 1 unmarried great granddaughter. What is the LEAST number of members in the family? Correct Answer 8

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 son 1 is also a father, father in law and a son.
  • The wife 1 is also a mother, mother in law, and a daughter in law.
  • The son 2 is also a father and a son.
  • The wife 2 is also a mother and a daughter in law.
  • The daughter 1 is a daughter and a grand daughter.
  • The daughter 2 is a daughter, a grand daughter, and a great grand daughter.

The Family tree is shown as;

[ alt="F1 Pooja Ravi 19.10.21 D12.0" src="//storage.googleapis.com/tb-img/production/21/10/F1_Pooja_Ravi_19.10.21_D12.0.png" style="width: 334px; height: 243px;">

So; the data of family members are;

3 married couples, 2 married sons, 1 grandson, 3 fathers, 3 mothers, 2 mothers-in-law, 2 fathers-in-law, 2 daughters-in-law, 2 unmarried daughters, 2 unmarried granddaughters and 1 unmarried great granddaughter. 

  • One grandfather
  • One grandmother
  • 3 Married Couple (Grandfather-Grandmother, Son 1-Wife 2, Son 2-Wife 2)
  • 2 Married Son (Son 1 and Son 2)
  • 1 Grandson (Son 2)
  • Three fathers (grandfather, son 1, and son 2)
  • Three mothers (grandmother, wife 1 and wife 2)
  • 2 Mother in law (Grand Mother, Wife 1)
  • 2 Father in law (Grand father, Son 1)
  • 2 Daughter in law (Wife 1 and Wife 2)
  • 2 Unmarried daughter (Daughter 1 and Daughter 2)
  • 2 Unmarried granddaughter (Daughter 1 and Daughter 2)
  • 1 unmarried great granddaughter (Daughter 1)

Hence, the Minimum number of members in the family is 8.

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