Question 412153
Remember that n C r = (n!)/(r!(n-r)!)



In this case, n=11 and r=4



So we get



11 C 4 = (11!)/(4!(11-4)!) = (11!)/(4!7!) = (11*10*9*8*7!)/(4!7!) = (11*10*9*8)/(4*3*2*1) = 7920/24 = 330



So 11 C 4 = 330, which means that there are 330 different committee.



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