Out of a classroom of 3 boys and 8 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions?	Select the correct option.
A) 14/33
B) 17/33
C) 48/165
D) 52/165
E) 56/165
The number of ways to choose three people is 11C3=165.   The number of ways to choose three girls is 8C3=56.   P(only girls are chosen)=56/165   The answer is 56/165.
<result>E</result>
Out of a classroom of 3 boys and 8 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions?