SOLUTION: From 5 statisticians and 6 economists a committee consisting of 3 statisticians and 2 economists is to be formed. How many different committees can be formed if (a)no restrictions

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Question 1202879: From 5 statisticians and 6 economists a committee consisting of 3 statisticians and 2 economists is to be formed. How many different committees can be formed if (a)no restrictions are imposed (b)two particular statisticians must be on the committee (c)one particular economist cannot be on the committee?
Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
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From 5 statisticians and 6 economists a committee consisting of 3 statisticians and 2 economists
is to be formed. How many different committees can be formed if
(a) no restrictions are imposed
(b) two particular statisticians must be on the committee
(c) one particular economist cannot be on the committee?
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        In this problem it is assumed that you know how to calculate the numbers of combinations.
        It is a prerequisite in this problem. 


(a)  C%5B5%5D%5E3%2AC%5B6%5D%5E2.    You do the rest.



(b)  C%5B5-2%5D%5E%283-2%29%2AC%5B6%5D%5E2 = C%5B3%5D%5E1%2AC%5B6%5D%5E2.   

     The meaning and wording of the solution is clear from the structure of the formula.



(c)  C%5B5%5D%5E3%2AC%5B6-1%5D%5E2 = C%5B5%5D%5E3%2AC%5B5%5D%5E2.

     The meaning and wording of the solution is clear from the structure of the formula.

Solved.