SOLUTION: out of 5 mathematician and 7 statistician a committee consisting of 2 mathematician and 3 statistician is to be formed.in how many ways this can be done if A. there is no restrict

Question 1131719: out of 5 mathematician and 7 statistician a committee consisting of 2 mathematician and 3 statistician is to be formed.in how many ways this can be done if
A. there is no restriction?
B.one particular statistician should be included?
C.two particular mathematician cannot be included in the committee?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
5C2*7C3 are the number of ways with no personal restrictions
10*35=350
1 particular statistician included means out of 7 there can be 2 chosen from 6 or 15 ways
Then it would be 10*15=150 ways
2 particular mathematicians excluded leaves 3 and only 3 choices.
3*35 (if no statisticians excluded) =105 different ways
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