A committee is to consist of a chair, two hagglers, and four do-nothings. The committee is formed by choosing randomly from a pool of 9 people and assigning them to the various "jobs." (a) How many...

(a) How many different committees are possible? HINT [See Example 5.]

  committees

Norman is eager to be the chair of the committee. What is the probability that he will get his wish? (Round your answer to two decimal places.)

Norman's girlfriend Norma is less ambitious and would be happy to hold any position on the committee provided that Norman is also selected as a committee member. What is the probability that she will get her wish and serve on the committee? (Round your answer to two decimal places.)

Norma does not get along with Oona (who is also in the pool of prospective members) and would be most unhappy if Oona were to chair the committee. Find the probability that all Norma's wishes will be fulfilled: She and Norman are on the committee, and it is not chaired by Oona. (Round your answer to two decimal places.)