Question 1146054
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The committee = 3 Democrats + 5 Republican.


(1)  You can select 3 democrats from 9 democrats in  {{{C[9]^3}}} = {{{(9*8*7)/(1*2*3)}}} = 84 ways.


(2)  You can select 8-3 = 5 Republican for remaining 5 positions from 7 Republicans in  {{{C[7]^5}}} = {{{(7*6)/(1*2)}}} = 21 ways.



(3)  Selections (1) and (2) are independent;  therefore, the total number of obtaining the committee 

     is the product  84*21 = 1764.    <U>ANSWER</U>
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Solved.