Assumptions, 1 yr old is considered a baby not a young kid, and teenager is too old to be considered a kid.
1x4x9 sum 14 --impossible
1x3x12 sum 16 --impossible
1x2x18 sum 21 --impossible
1x6x6 sum 13 --impossible
3x3x4 sum 10 --possible w/child prodegy
3x2x6 sum 11 --possible
So we have a 50/50 chance of getting it right
as was mentioned before, any kid can play a violin, and in all of the cases the children will always have a 'oldest' since even in the case of twins one would come seconds before the other.
the house number is different for each of the ways, so the teacher should have figured it out at the 2nd clue.
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