Answer:
The members of the cabinet can be appointed in 2184 ways.
Step-by-step explanation:
The rank matters, which means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
How many different ways can the members of the cabinet be appointed
3 spots from a set of 14 candidates. So
[tex]P_{(14,3)} = \frac{14!}{(14-3)!} = 2184[/tex]
The members of the cabinet can be appointed in 2184 ways.
