6! = 720 would be the number of different arrangements you can make from 6
different pictures.
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Infinitely many. You could, for example, cut out images of the 8 letters and paste then on the wall facing you. Each letter can take infinitely many positions on that wall so you have infinitely many arrangements.
If you have 10 pictures and 4 frames, then there are 210 different groups of pictures that you can frame and display. Each group can be hung on the wall in 24 different orders from left to right, and I guess there are other possible arrangements besides simply lining them up.
depends on the number of pictures to select from If you only have 5 pictures you must select them all so there is 1 way to do it.
This is a statistics question and the answer is 40,320 (8 factorial).
4*3*2*1 = 24