The director of a small management consulting company is to form a team of 5 management consultants from the 12 available to run a workshop. Exactly 8 of the 12 have sound presentation skills. Two of the 8 with sound presentation skills are feuding and cannot both be on the same team. In how many ways can a team of 5 management consultants that includes 3 with sound presentation skills be selected?
In how many ways can 3 management consultants having sound presentation skills be selected?
Two of the 8 with sound presentation skills are feuding and cannot both be on the same team. Then In how many ways can 3 management consultants having sound presentation skills be selected now?
"\\dbinom{8}{3}-(8-2)=50"
In how many ways can 2 management consultants without sound presentation skills be selected?
In how many ways can a team of 5 management consultants that includes 3 with sound presentation skills be selected now?
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