School parliament

There are 18 boys and 14 girls in the class. In how many ways can 3 representatives be elected to the school parliament, if these are to be:
a) the boys themselves
b) one boy and two girls

Correct result:

a =  816
b =  1638

Solution:

C3(18)=(183)=18!3!(183)!=181716321=816  a=(183)=816
C2(14)=(142)=14!2!(142)!=141321=91  b=18 (142)=18 91=1638



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