The newly elected president needs to decide the remaining 6 spots available in the cabinet he/she is appointing. if there are 10 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

There are 151,200 ways the members can be appointed.

Step-by-step explanation:

Since we have given that

Number of eligible candidates = 10

Number of remaining spots available = 6

Here, rank matters.

so, we will use "Fundamental theorem of counting or by Permutation":

So, Number of different ways the members can be selected is given by

Hence, there are 151,200 ways the members can be appointed.

w'x is 0.

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