Answer:
3,024 possible number of ways
Step-by-step explanation:
Permutation has to do with arrangement. If 'n' object is to be arranged taking 'r' at a time, this can be done in [tex]nPr[/tex] number of ways where;
[tex]nPr = \frac{n!}{(n-r)!}[/tex]
Based on the conclusion above, the number of possible permutations of 9 objects taken 4 at a time will be expressed as [tex]9P4[/tex].
[tex]9P4 = \frac{9!}{(9-4)!}\\ 9P4 = \frac{9!}{5!}\\9P4 = \frac{9*8*7*6*5!}{5!} \\9P4 = 9*8*7*6\\9P4 = 3,024\ possible\ ways[/tex]
