Statements : All the ties are shirts. Some pants are shirts.

Conclusions :
I. Some ties are pants.
II. No ties is a pants.

Given statements: All the ties are shirts. Some pants are shirts.

Now, analyzing the conclusions: I. Some ties are pants. → This is not necessarily true as there is no direct relation between ties and pants.

II. No tie is a pant. → This is also not necessarily true because there is no information given that explicitly denies a relationship between ties and pants.

Since one conclusion states "Some ties are pants" and the other states "No tie is a pant," they form a complementary pair. In syllogisms, if one must be true, the other must be false, which satisfies the condition for the "either-or" case.

Thus, the correct answer is Option C: If either conclusion (I) or (II) follows.