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 19 members on the board of directors?

Step-by-step explanation:

Assuming one person can hold only one title.

19 ways to select the first position

18 ways to select the second position

17 ways to select the third position

19•18•17 = 5,814

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!