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The New Oxnard Resort and Spa will hire 12 individuals to fill the positions of greeter, janitor, consultant, fry cook, and massage therapist. If each individual will be hired for 2 positions, and no position will be filled by more than 9 individuals, how many distinct groups of individuals could be hired as greeters?
(1) 66 distinct groups each of massage therapists, fry cooks and consultants could be hired.
(2) All of the fry cooks are also hired as consultants and all of the janitors are also hired as greeters.
please provide explanation.
(1) 66 distinct groups each of massage therapists, fry cooks and consultants could be hired.
(2) All of the fry cooks are also hired as consultants and all of the janitors are also hired as greeters.
please provide explanation.
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The only "silver line" of zero replies is the consolation that the question might be actually tough and no big deal if I could not solve it 
However, I am still waiting for a genius to come up with a solution.
However, I am still waiting for a genius to come up with a solution.
