Respuesta :
You would do 9*8*7 because any 9 could take up one then 8 people are left for the other and 7 for the final one so 504 ways
As per permutation, in 504 different ways those offices can be​ filled.
What is the permutation for a given data set?
"A permutation is an arrangement of objects in a definite order."
Given, the club with nine members is to choose three​ officers.
If each office is to be held by one person and no person can hold more than one​ office.
Therefore, the number of ways those offices can be filled is
[tex]= P^{9}_{3} \\= \frac{9!}{(9-3)!}\\= \frac{9!}{6!}\\= \frac{(9)(8)(7)(6!)}{6!}\\= (9)(8)(7)\\= 504[/tex]
Learn more about permutation here: https://brainly.com/question/1216161
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