How many ways are there to elect a president, vice-president, and a treasurer from a club of 8 students?

Mathematics · High School · Wed Jan 13 2021

Answered on

Formula Used :

nPr=n!/(n−r)!

Here, we have

n = 8

And, r = 3

So, 8P3 = 8!/(8-3)!

= 8 × 7 × 6 × 5!/5!

= 8 × 7 × 6 

= 336

 

Hence, president, vice-president, and a treasurer can be chosen in 336 ways from a club of 8 students