So this is permutation.
The number of permutations of n objects taken r at a time is defined as [tex]_nP_r = \dfrac{n!}{(n-r)!}[/tex].
Here, you have 10 objects and 5 of them will be taken.
So that would be 10! / (10-5)! = 10! / 5! = 30240
Final answer: 30240
Hope this helps.
