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