Child in a family has at least 4sis and 2bros.

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The problem states that every child in a family has at least 4 sisters and 2 brothers. The initial assumption is that there are at least 7 children, but further analysis reveals that this configuration does not satisfy the requirements for all children. The correct minimum configuration is determined to be 5 girls and 3 boys, totaling 8 children, ensuring that each child has the required number of siblings. The discussion emphasizes the importance of checking various combinations to meet the criteria. Ultimately, the conclusion is that 8 children, specifically 5 girls and 3 boys, fulfills the conditions of the problem.
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Homework Statement



Every child in a family has at least 4sis and 2bros. What is the least no. of children in the family?

Homework Equations



every child has 4 sis and 2 bros.

The Attempt at a Solution



so, atleast 6+1 children.

so answer, i guess shud b seven??
can some1 confirm this?? answer is quiet visible i guess.
 
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I am not sure this question belongs here, but anyway, if the correct answer is seven, how many boys should there be and how many girls? Pretend that you are one of these boys, do you have two brothers and four sisters? Now pretend you are one of the girls. Do you have two brothers and four sisters? Be sure not to count yourself.
 
yeah, thatz wat is bugging me.

question states a child and does not mentions the sex.
 
So if there are seven children does it work with 6 girls + 1 boy? No. Does it work with 5 girls + 2 boys or how about 4 girls + 3 boys? Try it like I said with all the possible splits of seven and see if any of them works.
 
the only possible combinations are:

4G+2B+1G = 7 CHILDREN
(internally, each boy won't have 2brothers and sister will increase to 5)
4G+2B+1B = 7 CHILDREN.

If we consider 1/4G+1/2B ??
But this time atleast 4 sis and 2 bro rqmnt will b completed.
each child will have atleast 4 sis and 2 bro.
so, least children will b 1G+4G+2B+1B= 8 children!

i think thatz it.
 
Last edited:
1G+4G+2B+1B is not 10 children. Perhaps you need to use a calculator.
 
is it correct now??
 
Yup, looks correct; 5 girls and 3 boys must be the minimum criteria fufilled.
 
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