(10 pts.) Solve the questions below using either permutation, combination or counting principle formulas. Make sure to show all your work for full credit. a.) The model of the car you are thinking of buying is available in nine different colors, and three different styles (sedan, mini-van, SUV). In how many ways can you order the car? b.) A corporation has 10 members on its board of directors. In how many ways can the corporation elect a president, vice president, secretary, and treasurer? c.) In how many different ways can a coach choose a team of five members from a group consisting of 9 males and 10 females if the team must consist of three females and two males