SOLUTION: a committee of the parents and the teachers association of a school, consisting of 6 members is to be chosen from 8 teachers and 10 parents.calculate the number of different ways t

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Question 1040550: a committee of the parents and the teachers association of a school, consisting of 6 members is to be chosen from 8 teachers and 10 parents.calculate the number of different ways the committee can be formed
I) if there is no restriction
II)the committee consists of 4 parents and 2 teachers

Answer by Boreal(15235) About Me  (Show Source):
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No restriction, it is 18C6=18,564
With 4 parents and two teachers it is 10C4, the way to choose 4 from 10, multiplied by 6C2, the number of ways to choose 2 from 6.
The product of the second is 210*15=3150.