please answer the full question with explanation.

5. [20 Points] An E/R diagram includes a 3-way relationship R that connects and relates the entity sets E1, E2, and E3. Consider the following separate cases we may have about the type of connections between R and each of these entity sets. (a) The connection from R to E1 is a sharp arrow; the other two are simple lines. (b) The connections from R to both E1 and E2 are sharp arrows. (c) The connection from R to each one of the 3 entity sets is a sharp arrow. (d) The connection from R to E1 is a sharp arrow and from R to E2 is a round arrow. In each case, we convert the diagram into a relational database. Let e1, e2, and e3 respectively be the number of tuples in some valid instances of E1, E2, and E3. In each case, determine the range of values of R, or the exact value of R if exists, in terms of the values e1, e2, and e3. (Note: R is called the size or cardinality of relation R.)