There are 11 qualified applicants for 7 trainee positions in a fast-food management program. How many different groups of trainees can be selected?

Question
Answer 1

330

#C_(n,k)=(n!)/((k!)(n-k)!)# with #n="population", k="picks"#

#C_(11,7)=(11!)/((7!)(4!))=(11xx10xx9xx8)/(24)=330#

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