Is the mood AAA-1 Barbara a valid Figure I syllogism?

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Multiple Choice

Is the mood AAA-1 Barbara a valid Figure I syllogism?

Explanation:
The essential idea is transitive inclusion: if S is contained in M, and M is contained in P, then S is contained in P. In Barbara, the two premises are universal affirmatives: All S are M and All M are P. Take any thing that is an S; it must be an M, and that M must be a P. Therefore that thing is an S and a P, so All S are P follows. In Figure I, this arrangement is a classic valid form, so the mood AAA-1 is a valid syllogism.

The essential idea is transitive inclusion: if S is contained in M, and M is contained in P, then S is contained in P. In Barbara, the two premises are universal affirmatives: All S are M and All M are P. Take any thing that is an S; it must be an M, and that M must be a P. Therefore that thing is an S and a P, so All S are P follows. In Figure I, this arrangement is a classic valid form, so the mood AAA-1 is a valid syllogism.

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