Statements:
Some children are parents.
All parents are infants.
Some infants are adolescent.
Conclusions:
I. At least some adolescent are parents.
II. All infants being parents is a possibility.
III. Some infant are definitely children.
IV. Some parents are adolescent.
All parents are infants(A) + Some infants are adolescent(I) ⇒ No conclusion. Hence conclusion I and IV does not follow. All parents are infants(A) ⇒ Conversion ⇒ Some infants are parents(I) ⇒ Probable conclusion ⇒ All infants being parents is a possibility(A). Hence conclusion II follow. Some children are parents(I) + All parents are infants(A) ⇒ Some children are infants (I) ⇒ Conversion ⇒ Some infant are children(I). Hence conclusion III follows. ALTERNATE SOLUTION: Relevant Minimal Possibility: