Question

The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can this be accomplished if there are 22 members on the board of directors?

Answer 1

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.

For the Post of President:

The number of available options to choose a president = 22  options

For the Post of Secretary:

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

For the Post of Treasurer:

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.