A class consists of 3 boys and 6 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?
Choices
A) 9
B) 18
C) 36
D) 60
E) 240
Easiest way is to treat it like an arrangements question in the following manner:   From the boys we need to select 2 to be clown and pet: This can be done in 3*2 ways   Similarly for the girls, we have 6*5 ways.   Thus total = 30+6= 
<gadget id="calculator">30+6</gadget>
<output>36</output>
36 ways. Thus 36 is the correct answer.
<result>C</result>
A class consists of 3 boys and 6 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?