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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

Respuesta :

Given

Total number of members = 22

Find

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

Explanation

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

[tex]N=^nP_r[/tex]

there are three members required so , r = 3

now , substitute the values in above equation

[tex]\begin{gathered} N=^{22}P_3 \\ N=\frac{22!}{(22-3)!} \\ \\ N=\frac{22!}{19!} \\ \\ N=22\times21\times20 \\ N=9240 \end{gathered}[/tex]

Final Answer

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

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