The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is appointing. If there are 15 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
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After filling the first position, the president has (S-1) choices for the second position. This continues until the seventh position, where the president has (S-6) choices left. Show more…
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