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

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

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

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