The correct option is A Both statements are correct.
Electrons flow from the negative terminal of the battery to the positive terminal of the battery. So, negative charge flows from the negative terminal to the positive terminal of the battery.
Conventionally, people believed that the flow of positive charge causes electric current. Thus, the conventional direction of flow of current is taken as the flow of positive charge which is opposite to the direction of flow of electrons.
Thus, both the statements are correct.