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stealth61 [152]
3 years ago
6

math The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing. If there a

re 15 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed
Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

2730 ways

Step-by-step explanation:

Given that,

There are 15 eligible candidates for these positions.

The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.

It is a concept based on permutations.

P(n,r)=\dfrac{n!}{(n-r)!}

Put n = 15 and r = 3

P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730

Hence, 2730 ways can the members of the cabinet be appointed

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