SOLUTION: Out of 5 Mathematicians and 7 physicists, a committee consisting of 2 mathematicians and 3 physicists is to be formed. In how many ways can this be done if. a) any mathematician a

Question 1116852: Out of 5 Mathematicians and 7 physicists, a committee consisting of 2 mathematicians and 3 physicists is to be formed. In how many ways can this be done if.
a) any mathematician and any physicists can be included
b) one particular physicist must be on the committee
c) 2 particular mathematicians cannot be on the committee
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a: 5C2*7C3=10*35=350
b. 5C2*6C2*1=150, because the specific physicist takes 1 from each part.
c. 3C2*7C3=3*35=105
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