Answer:
9,240 ways possible in which this can be accomplished if there are 22 members on the board of directors.
Step-by-step explanation:
Total number of available members in the board = 22
The number of posts chosen are a president, a secretary, and a treasurer.
<u>For the Post of President:</u>
The number of available options to choose a president = 22 options
<u>For the Post of Secretary:</u>
As we can not repeat the members because one person CANNOT hold two positions simultaneously.
The number of available options to choose a secretary = 21 options
<u>For the Post of Treasurer:</u>
As we can not repeat the members because two person CANNOT hold three positions simultaneously.
The number of available options to choose a treasure = 20 options
Now, the possible ways can this whole election be accomplished is the product of all possible options
= 22 option x 21 option x 20 option
= 9,240 ways
Hence, there are 9,240 ways possible in which this can be accomplished if there are 22 members on the board of directors.
