Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:
Some peas are pineapples.
No pineapple is a broccoli.
All broccolis are potatoes.

Conclusions:
I. Some peas being potatoes is a possibility.
II. All pineapples being potatoes is a possibility.