The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is appointing. if there are 12 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

The total number of ways are 792 ways.

Explanation:

The total number of spots available is 7.

The total number of eligible candidate is 12.

To find the number of combinations we have a combination formula.

Where n is total number of of objects and r is the number of selected objects.

Since we have to select 7 spots from 12 candidates, therefore the total number of ways is calculated as shown below,

Therefore, the total number of ways are 792 ways.

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