What is the number of ways to

arrange 5 objects from a set of 8

different objects?

6,720 ways

Step-by-step explanation:

Since in the problem arrangemnt is being asked this is a problem of permutation.

No. of ways of arranging r things out of n things is given by

P (n, r) = n! / (n-r) !

In the problem given we have to arrange 5 objects from set of 8 objects.

Here n = 8 and p = 5

it can be done in in

P (8,5) = 8! / (8-5) ! ways

8! / (8-5) ! = 8!/3! = 8*7*6*5*4*3!/3! = 8*7*6*5*4 = 6,720

Thus, number of ways to arrange 5 objects from a set of 8

different objects is P (8,5) = 8! / (8-5) ! = 6,720.