SOLUTION: 2. In how many orders can 7 different pictures be hung in a row so that 1 specified picture is (a) at the center, (b) at either end? Show full solution, thank you!

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Question 1191175: 2. In how many orders can 7 different pictures be hung in a row so that 1 specified picture is
(a) at the center,
(b) at either end?
Show full solution, thank you!

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

(a)  One of the 7 pictures is fixed;  6 other can be arranged in any order in the remaining 6 positions.


     The answer is 6! = 6*5*4*3*2*1 = 720 possible permutations.




(b)  6! + 6! = 720 + 720 = 1440 possible permutations / arrangements.


     First   720 arrangements with the specified picture at the left end, and

     another 720 arrangements with the specified picture at the right end.

Solved, answered and explained.



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