6. a. 5 marks How many 6-member committees can be formed from 8 girls and 9 boys if the following are true? i. There are no conditions. ii. There must be exactly 3 girls. iii. There must be at least 4 boys b. 5 marks A car dealership is promoting a particular model of car that has 8 optional features available. Each optional feature can be purchased separately. i. How many different packages of 3 optional features are possible for this model of the car. ii. Explain why the number of different packages of 5 optional features is the same as the number of different packages of 3 optional features. Show mathematical statements to back up your argument. iii. Another model of car has n different optional features available. When 2 optional features are chosen for this model of car, there are 45 different packages available. Determine algebraically the number of optional features, n, that are available for this model of car