SOLUTION: An order of award presentations has been devised for 7 people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul... In how many ways can teh first award be presented to Karen and t

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Question 597806: An order of award presentations has been devised for 7 people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul...
In how many ways can teh first award be presented to Karen and the last to Lyle?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since Karen and Lyle are locked in the first and last slots, this means that there are really 7-2 = 5 free slots left.

So there are 5! = 5*4*3*2*1 = 120 different ways to present the awards.