At Johnson Elementary School, there are 24 educational staff personnel consisting of the following: 7 male teachers, 16 female teachers, plus the principal of the school is a woman named Ruth Klein. Include the Principal as part of the entire educational staff of the school. a) At Johnson Elementary School, in how many ways can a 5-person committee be chosen from the entire educational staff ? Show your work. b) At Johnson Elementary School, if a 5-person committee is chosen at random, what is the probability that it contains exactly 3 men and 2 women chosen from the entire educational staff? You must show how you computed your answer. Round the final answer accurately to 4 decimal places.
