How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 8 members?A. 32B. 3,024C. 1,680D. 24

Question

asked Jul 26, 2023 129k views

1 Answer

Shriraj Hegde · Answer 1 · 2023-07-30T23:31:19+0000

SOLUTION

A president, vice-president, secretary, and treasurer are 4 persons.

So we want to know in how many ways these 4 persons can be chosen from 8, we have

$\begin{gathered} ^8P_4 \\ =(8!)/((8-4)!) \\ =(8*7*6*5*4!)/(4!) \\ =8*7*6*5 \\ =1,680\text{ ways } \end{gathered}$

Hence the answer is option C