Question 59432
You have 7 possibilities for the first candidate. For each of those possibilities, you can choose one of the other 6 to investigate the second candidate. For each of those possibilities, you can choose one of the other 5 to investigate the third candidate, and so on...

Therefore the number of ways is:

{{{7! = 7*6*5*4*3*2*1 = 5040}}}