SOLUTION: From 5 statistician and 6 economists a committee consisting of 3 statistician and 2 economist is to be formed.how many different committees can be formed if: Two particular statis

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Question 1003511: From 5 statistician and 6 economists a committee consisting of 3 statistician and 2 economist is to be formed.how many different committees can be formed if:
Two particular statisticians must be in the committee.

Answer by ikleyn(52812) About Me  (Show Source):
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From 5 statistician and 6 economists a committee consisting of 3 statistician and 2 economists is to be formed.
How many different committees can be formed if two particular statisticians must be in the committee.
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You have the choice of  1  statistician of  3  (two other particular statisticians are not the subject of choice)
and  C%5B6%5D%5E2 = %286%2A5%29%2F2 = 3*5 = 15  options to select  2  economists of  6.

In total,  you have  3*15 = 45  options.