8. (20 pts) A box contains 12 lightbulbs, of which 5 are defective. All bulbs look alike and have equal probability of being chosen. Three lightbulbs are selected and placed in a box. a) In many ways these 3 lightbulbs can be chosen. b) In how many ways that all 3 lightbulbs are defective? c) In how many ways that exactly 2 lightbulbs are defective? d) In how many ways that at least 2 lightbulbs are defective?.