Question

The board of directors of a company must have 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

Answer 1

Given

Total number of members = 22

Find

Possible ways of selection of president, a secretary and a treasurer

Step-by-step explanation

As we know , the number of possible ways of selection is given by

`N=^nP_r`

there are three members required so , r = 3

now , substitute the values in above equation

`\begin{gathered} N=^(22)P_3 \\ N=(22!)/((22-3)!) \\ \\ N=(22!)/(19!) \\ \\ N=22*21*20 \\ N=9240 \end{gathered}`

Final Answer

Possible ways of selection of president, a secretary and a treasurer = 9240