How do i appley too enter into The Amazing Race?

In a local boxcar race, only 6 contestants can enter. This year, though, 11 kids entered their names...?

• In a local boxcar race, only 6 contestants can enter. This year, though, 11 kids entered their names. The judges have decided to draw names from a hat to decide who can race this year. The starting position of contestants will be decided by when their name is drawn (1st name = 1st position and so on). In how many different ways can the judges assign all the starting positions?

• Answer:

  (11) (10)(9)(8)(7)(6) = 332,640 11 = # of possibilities for lane 1 10 = # of possibilities for lane 2 9 = # of possibilities for lane 3 8 = # of possibilities for lane 4 7 = # of possibilities for lane 5 6 = # of possibilities for lane 6