Question: 1. A lottery is run as follows. Twelve slips of paper are placed in a bowl. Each slip has a different symbol on it. A player makes an ordered list of these twelve symbols, and wins if they are drawn from the bowl in this order. How many possible different outcomes are there of this lottery?
2. The letters a through l are to be arranged in some order. How many arrangements are there that have a in the second place, d in the fifth place and k in the seventh place?