The executives of a company are four women and three man. Three are to be chosen at random to attend a management seminar.

a. If one person from the executives is chosen at random to draw 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 of attendees be formed if there are no restrictions on composition?

c. How many ways can one man be chosen?

d. How many ways can two women be chosen?

e. What is the probability that the random selection of the three-person group will result in two women and one man