Out of a classroom of 6 boys and 5 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 one.
A) 2/33	B) 4/33	C) 2/165	D) 4/165	E) 7/165
The number of ways to choose three people is 11C3=165.   The number of ways to choose three girls is 5C3=10.   P(only girls are chosen)=10/165=2/33   The answer is 2/33.
<result>A</result>
Out of a classroom of 6 boys and 5 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?