SOLUTION: A club as 30 members including 3 lawyers,4 teachers and 5 docters.In how many ways can a committee of 8 be formed to contain 1 teacher,2 lawyers,and 2 docters?

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Question 1143090: A club as 30 members including 3 lawyers,4 teachers and 5 docters.In how many ways can a committee of 8 be formed to contain 1 teacher,2 lawyers,and 2 docters?
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


We need to choose...
(a) 1 of the 4 teachers: C(4,1)
(b) 2 of the 3 lawyers: C(3,2)
(c) 2 of the 5 doctors: C(5,2)

By the fundamental counting principle, the total number of ways is the product of those numbers.

C%284%2C1%29%2AC%283%2C2%29%2AC%285%2C2%29+=+4%2A3%2A10+=+120