Please help me with question 1&2

1. (6 pts) Twelve students are competing for 3 different writing scholarships. In how many ways can the scholarships be awarded? 2. (10 pts) Fifteen hundred raffle tickets are sold for $2 each. One prize of $ 1000 and one prize of $500 will be awarded. The tickets are placed in a bin. The winning ticket will be selected from the bin. Assume that after each ticket is drawn, the ticket that was drawn is mixed with the other tickets before the next selection. Jim purchases one of these tickets. a. Determine his expected value b. Determine the fair price of the ticket