Question 1114788
 

First note that the order of the children in the committee {{{does}}}{{{ not}}} matter.
From {{{12}}} girls we can choose {{{C(12, 3)}}} different groups of three girls. From the {{{10}}} boys we can choose {{{C(10, 2)}}} different groups. 

Thus, by the Fundamental Principle of Counting the total number of committee is:

{{{C(12, 3) * C(10, 2) =(12!/3!9!) *(10!/2!8!)}}}

={{{((12 * 11 *10)/(3* 2 *1))*((10*9)/(2*1))}}}

={{{(1320/6)*(90/2)}}}

={{{220*45}}}

= {{{9900}}}

so, your answer is: d) {{{9900}}}