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: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 = 22The 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  optionsFor 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  optionsFor 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 optionsNow, 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 waysHence, there are 9,240 ways possible in which  this can be accomplished if there are 22 members on the board of directors.