Both S1 and S2 are false.
S1 is false because you can have more than 1 FK in one relation for example if u see the case of many to many realtion with both the entities are paritally participating in that case you form one extra table for relationship in which you have PK of both the entity relatiuon as FK so u are having more than one FK in one relation which is possible.
S2 is false because you can have self refrential FK also for example take case of self refrential relationship with both partial participation you will get 1 FK in the table itself refrening the PK of the table.