An engineering company has four openings and the applicant pool consists of 6 database administrators and eight network engineers. All are equally qualified so the hiring will be done randomly. The hiring committee consists of 4 women and 4 men. 18. a. If one person on the hiring committee is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a woman b. How many ways can the group who are to be hired be formed if there are no restrictions on composition? c. How many ways can 3 database administrators be chosen? d. How many ways can 1 network engineers be chosen? e. What is the probability that the random selection of the four persons to be hired will result in 3 database administrators and 1 network engineer?