Consider three relations r1(A,B,C), r2(C,D,E), and r3(E, F), with primary keys A,C,and E, respectively. Assume that relation r1 has 1000 tuples, r2 has 1500 tuples, and r3 has 750 tuples. (a) Compute the size of r1 ▷◁ r2 ▷◁ r3. (b) Assume that each relation has a primary index (B+tree) based on its key. Give three strategies (explicit show what to report as the result) for computing the join. Note that you can use file scan, sorting, and the index to find the resulting tuples.

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