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A hospital wants to hire 3 doctors in 3 different specialties. There are 10 applicants. How many choices are there in each of the following

A hospital wants to hire 3 doctors in 3 different specialties. There are 10 applicants. How many choices are there in each of the following cases: 

a). All candidates have all 3 specialties. 

b). One doctor has the 3 specialties, the others have the same 2 specialties. 

c). Among the 10 doctors, there are 7 men and 3 women having all specialties, must be hired 2 men and 1 woman.

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