37. An office building has assistants and managers. There are a total of 54 employees, 24 of which are female. The office has 10 male managers and a total of 38 assistants. Use the information to find the following probabilities (Hint: Make a chart) (Express answers in reduced fraction form. Show formulas where appropriate) a) P(Male & Assistant) b) P(Male or Assistant) c) P(Female & Manager) d) P(Female or Manager) e) P(Male) f) P(Male or Female) g) P(Assistant or Manager) h) P(Assistant and Manger) i) P(Female) i) P(Assistant) k) P(Manager) 38. A committee of 6 people are being chosen to rewrite a company mission statement. An equal number of men and women will be chosen to serve on the committee. If there are 8 women and 9 men who volunteered, how many different committees could be formed? 39. 15 people are running for the administrative positions in a student body election for President, Vice President, and Secretary. How many different administrations could be formed? 40. A group of school children and their parents are going on a field trip. There are limited spots available. If there are 5 spots for children and 3 spots for parents, how many different groups could be formed from a class of 25 children and 8 available parents