Question

Eight individuals are candidates for positions of president, vice president, and treasurer of an organization. How many possibilities of selections exist

Answer 1

Answer:

336

Step-by-step explanation:

It is given that,

Total number of individuals are 8

They are candidates for positions of president, vice president, and treasurer of an organization.

It is a based on permutations. We need to find P(8,3). It can be calculated as follows :

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

So,

$P(8,3)=\dfrac{8!}{(8-3)!}\\\\=\dfrac{8!}{5!}\\\\=\dfrac{8\times 7\times 6\times 5!}{5!}\ [\because n!=n(n-1)!]\\\\=8\times 7\times 6\\\\=336$

Hence, there are 336 possibilities of selections.