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In how many ways can 6 pictures be hung from 4 picture nails on a wall?

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Best answer

To find:

number of ways of hanging 6 pictures on 4 picture nails. There are 6 pictures to be placed in 4 places. 

Formula: 

Number of permutations of n distinct objects among r different places, where repetition is not allowed, is 

P(n,r) = n!/(n-r)! 

Therefore, a permutation of 6 different objects in 4 places is 

P(6,4) = \(\frac{6!}{(6-4)!}\) =  \(\frac{6!}{2!}=\frac{720}{2}\) = 360 

This can be done by 360 ways

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