School parliament

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

Correct answer:

a =  816
b =  1638

Step-by-step explanation:

C3(18)=(318)=3!(183)!18!=321181716=816  a=(318)=816
C2(14)=(214)=2!(142)!14!=211413=91  b=18 (214)=18 91=1638

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