The newly elected president needs to decide the remaining 6 spots available in t

Question

The newly elected president needs to decide the remaining 6 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 newly elected president needs to decide the remaining 6 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?

Explanation / Answer

If the rank didn't matter number of ways would be 12C6.

Since the rank matters, we would permutate the number of seats in addition .

Number of ways=12C6*6!=665280

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