1. In a political discussion group there are 9 Democrats, 10 Republicans and 6 Independents. If one group member is chosen at random to represent the group, what is the probability that they are a Republican?
2. You want to arrange 9 of your favorite CD's along a shelf. How many different ways can you arrange the 9 CD's assuming that the order of the CD's makes a difference to you?
3. To play a certain lottery, a person has to correctly select 7 out of 65 numbers, paying $1 for each seven-number selection. If the seven numbers selected are the same ones that are drawn, mountains of money are bestowed. How many possible seven number combinations can be chosen from the 65 numbers?