For the daily lottery game in a particular state, participants select 4 numbers between 0 and 9. A number cannot be selected more than once, so a winning ticket could be 3071 but not 3371. THe order of selection is important. Purchasing one ticket allows you to select one set of numbers. The winning numbers are announced on TV each night.

a/ How many different outcomes (four-digit numbers) are possible?

b/ if you purchase a ticket for the game tonight, what is the probability that you win?

c/ suppose you purchase 3 tickets for tonight's drawing and select a different number for each ticket. What is the probability that you will not win with any of the tickets?