SOLUTION: In how many different ways can 6 persons sit down on 8 chairs in a straight line?

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Question 1106805: In how many different ways can 6 persons sit down on 8 chairs in a straight line?
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
In  8*7*6*5*4*3 = 20160 different ways.



1-st person can take any of           8 chairs.           - 8 possibilities.

2-nd person can take any of remaining 7 chairs.           - 7 possibilities.

3-rd person can take any of remaining 6 chairs.           - 6 possibilities.

  . . . .  And so on  . . . . 

6-th person can take any of remaining 3 chairs.           - 3 possibilities.



Thus there are  8*7*6*5*4*3 = 20160 different ways.


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