SOLUTION: Out of 7 children, in how many ways can a family have at least 1 boy? How many ways can be made?

Question 1125664: Out of 7 children, in how many ways can a family have at least 1 boy?
How many ways can be made?
Found 2 solutions by math_helper, KMST:
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
The number family configurations (combinations of children) with 7 children is
All of them except one (the one with all girls) have at least one boy, 128-1 = 127.
�
Ans: combinations have at least one boy
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I am making the very reasonable assumption that those 7 children were born at different times
(with no two of them born at exactly the same time).
Each child could be a boy, or not a boy,
giving 2 possibilities per child,
and different ways to make up a family.
Only of those different ways did not have at list 1 boy.
In the other ways, there was at least one boy.
Maybe there was just 1 boy, being the first child, or the second one, or...
Maybe there were 2 boys, or 3. or...., and they were born in some order or other.
The possible ways to have one or more boys are ,
and there is only way to not have at least 1 boy.
RELATED QUESTIONS
out of 6 children, in how many ways can a family have at least 1... (answered by Alan3354)
out of 6 children, in how many ways can a family have at least 1... (answered by Alan3354)
In how many ways can a selection of at least two CDs be made from a set of 7... (answered by Boreal,greenestamps,Edwin McCravy)
In how many ways can a family consist of 3 children have different birthdays in a leap... (answered by Edwin McCravy)
a) In how many different ways can the letters of the word KNOWLEDGE be arranged in such... (answered by Edwin McCravy,ikleyn)
Package of 10 game boy sets contains 2 defective sets. If 5 sets are to be picked out... (answered by stanbon)
Package of 10 game boy sets contains 2 defective sets. If 5 sets are to be picked out... (answered by stanbon)
A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members �be... (answered by stanbon)
A club has 12 members, 7girls and 5 boys. In how many ways can the club choose a... (answered by xdragonfight)