In how many different ways can the top eight new indie bands be ranked on a ...

  

4. A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
 

        a three given the card is a not a face card.
       a four, given that the card is not a diamond.
        a Jack given the card is not a face card.

 

5. In how many ways can 10 instructors be assigned to ten sections of a course in mathematics 

6. In how many different ways can the top eight new indie bands be ranked on a top eight list? The top hit song for each of the eight bands will compete to receive monetary awards of $1000, $500, $250 and $100, respectively. In how many ways can the awards be given out?