Here since nothing is mentioned about the attributes and keys of entities , so I will talk about INF form only as without attribute and key set we cannot formulate FDs and hence we cannot conclude about how many tables required for 2NF , 3NF etc which requires knowledge of keys and hence prime and non prime attributes.
So we talk about 1NF form only.
Now to decide minimum tables we should keep into account the cardinality of the entity sets that are participating into the relation and mode of participation i.e. total or partial.Both factors have an important role in deciding no of tables required.
For 1) :
Since it is many to one relation and participation is partial both sides of the relation , so only "many" side of the relation can be merged.Hence the tables will be : {E2R} , {E1} .Hence two tables required minimum for INF.
For 2) :
Now it is similar like previous one but the only difference is that E1 is participating totally , hence although it is in the "one " side of the relation , it can be merged.Hence in this case only 1 table required minimum.
For 3) :
Here total participation both sides hence both the entities can be merged with the relationship so only 1 table required here as well
For 4) :
Here we have total participation in "many" side of the relationship but "one" side of the relationship is participating partially .Hence the "one" side entity cannot be merged.Hence here we require 2 tables minimum. {E2R} , {E1}
For 5) :
Now here although it is a many to many relationship but total participation is here both sides of the relationship.Hence here also we require only 1 table minimum if no redundancy is considered (i.e. for 1NF only).
Note that in each of the above instances , we are merging the relationship set with either of the entity set or both of the entity sets , so no separate table is required for relationship set.