Question 1172913
<br>
Straightforward application of basic counting principles:<br>
choose 2 of 5; AND choose 3 of 7; AND choose 1 of 2; AND choose 3 of 4; AND choose 5 of 9.  So<br>
{{{C(5,2)*C(7,3)*C(2,1)*C(4,3)*C(9,5)}}}<br>
According to the statement of the problem, however, this is a problem.  You are choosing 14 professors, but the committee is only supposed to have 11 members.<br>