There are 9240 ways to select a committee to develop a discrete math course if the committee is to consist of three faculty from the math department and four from the computer science department.
It is given that there are 9 faculty members in the math department and 11 in the computer science department.
[tex]C^{9} _{3} * C^{11} _{4}[/tex]
[tex]= \frac{9!}{(9-3)!3!} * \frac{11!}{(11-4)!4!}\\= 28 * 330\\= 9240[/tex]
Therefore, there are 9240 ways to select the committee.
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