Out of a classroom of 5 boys and 6 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?
Choose the correct choice from the following answers
A) 2/11
B) 2/33
C) 4/33
D) 8/165
E) 19/165
The number of ways to choose three people is 11C3=165.   The number of ways to choose three girls is 6C3=20.   P(only girls are chosen)=20/165=4/33   The answer is 4/33.
<result>C</result>
Out of a classroom of 5 boys and 6 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?