Probability word problem

Question

You need to select a President, Vice President, and Treasurer from a class of 25. If 17 of the students are boys, what is the probability that all three students on the committee are girls? Leave your answer as a fraction . No need to reduce the fraction.

Answer 1

(8/25)(7/24)(6/23)

= (8)(7)(6)/(25)(24)(23)

= 14/575 = Pr(3G) choosing out of 25 with 17 males