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An n-way join performs consecutive n-1 joins among n tables. for each of the following 8-way joins, state how many join orders are possible and why (make sure to explain the reason). note ri β‹ˆ rj and rj β‹ˆ ri (switching around the order of two joined relations) are different join orders. in the join expressions below, β‹ˆ denotes an inner join, |β‹ˆ denotes a left outer join, β‹ˆ| denotes a right outer join, and |β‹ˆ| denotes a full outer join. hint: note commutativity of the different types of join operations.

a) r1 β‹ˆ r2 β‹ˆ r3 β‹ˆ r4 β‹ˆ r5 β‹ˆ r6 β‹ˆ r7 β‹ˆ r8

b) r1 β‹ˆ r2 β‹ˆ r3 |β‹ˆ r4β‹ˆ r5 β‹ˆ r6 β‹ˆ r7 β‹ˆ r8

c) r1 β‹ˆ r2 β‹ˆ r3 β‹ˆ| r4β‹ˆ r5 β‹ˆ r6 β‹ˆ r7 β‹ˆ r8

d) r1 β‹ˆ r2 β‹ˆ r3 |β‹ˆ| r4β‹ˆ r5 β‹ˆ r6 β‹ˆ r7 β‹ˆ r8

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An n-way join performs consecutive n-1 joins among n tables. for each of the following 8-way joins,...
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