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There are 4 picture nails on a wall and 8 pictures to choose from.In how many ways can a picture be hung on all the nails?

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2 Answers

There are indeed 8C4=70 ways to choose the four pictures, but then 4! or 24 ways to order them on the nails.
Total 70×24=1680 ways to hang the pictures.
C8  =   8 !       = 70      
           4! * 4 !