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The newly elected president need to decide the remaining eight spots available for cabinet here she is appointing there are 12 eligible candidate for this position where rink matters how many different ways can the member of the cabinet be appointed

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Answer: There are 495 different ways the members of the cabinet can be appointed.

Step-by-step explanation:

nCr+n! / (r! * (n-r)!)

Where n is the total number of items, and r is the number of items to choose.

In this case, there are 12 eligible candidates for 8 spots. So, we need to find the humber of ways to choose 8 candidates from 12, which is:

12C8 = 12!/ (8! * (12-8)!)+495

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