From a set of 10 rings, a jeweller wishes to display seven of them in their shop

Question:

From a set of 10 rings, a jeweller wishes to display seven of them in their shop window. The formation of the display is shown in the diagram opposite. Find the number of possible displays if, from the set of 10:

a. The ring with the largest diamond must go at the top of the display

b. The most expensive ring must go at the top with the two least expensive rings adjacent to it.

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