Is the following syllogism valid?

All cardboard is recyclable.

All cardboard is a paper product.

Some paper products are recyclable.

a$.$

Yes if we take the modern view of existential import, but no if we take the traditional view.

b$.$

No$,$ regardless of whether we take the traditional or modern view of existential import.

c$.$

Yes, regardless of whether we take the traditional or modern view of existential import.

d$.$

Yes if we take the traditional view of existential import, but no if we take the modern view.

e$.$

There is not enough information to determine the answer.