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Sagot :
[tex]\begin{gathered} The\text{ number of ways of selecting 4 faculty members from 9 faculty members is:} \\ 9C4=\frac{9!}{(9-4)!4!} \\ 9C4=\frac{9\times8\times7\times6\times5!}{5!\times4!} \\ 9C4=\frac{9\times8\times7\times6}{4\times3\times2\times1} \\ 9C4=\frac{3024}{24} \\ 9C4=126\text{ways} \end{gathered}[/tex]
The number of ways of selecting 5 students from 12 students is:
[tex]\begin{gathered} 12C5=\frac{12!}{(12-5)!5!} \\ 12C5=\frac{12\times11\times10\times9\times8\times7!}{7!\times5!} \\ 12C5=\frac{12\times11\times10\times9\times8}{5\times4\times3\times2\times1} \\ 12C5=\frac{95040}{120} \\ 12C5=792\text{ways} \end{gathered}[/tex]Hence, the number of ways of forming the committee is 126 x 792 = 99792 ways.
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