SOLUTION: in how many ways can six persons be selected from 4 officers and 8 constables, if at least one officer is to be included?

Question 761460: in how many ways can six persons be selected from 4 officers and 8 constables, if at least one officer is to be included?
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Since we need one officer in the selection, we have 11 persons remaining from which we select five more persons. We have four officers to choose from giving us
(1) N = 4*(11P5) or
(2) N = 4*(11*10*9*8*7) or
(3) N = 4*(55440) or
(4) N = 221760
Answer: There are 221760 selections that contain at least on officer.
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