Out of a classroom of 4 boys and 7 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 option:  A) 3/11  B) 5/11  C) 5/33  D) 7/33  E) 16/165
The number of ways to choose three people is 11C3=165.   The number of ways to choose three girls is 7C3=35.   P(only girls are chosen)=35/165=7/33   The answer is 7/33.
<result>D</result>
Out of a classroom of 4 boys and 7 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?