A class consists of 6 boys and 4 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?
Answers.
A) 9
B) 18
C) 32
D) 60
E) 42
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 6*5 ways   Similarly for the girls, we have 4*3 ways.   Thus total = 30+12= 
<gadget id="calculator">30+12</gadget>
<output>42</output>
42 ways. Thus 42 is the correct answer.
<result>E</result>
A class consists of 6 boys and 4 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?