Question

What is the number of possible permutations of 9 objects taken 4 at a time?

A.
120
B.
126
C.
3,024
D.
362,880

Answer 1

C:3024

Explanation:

PLATO

Answer 2

3,024 possible number of ways

Explanation:

Permutation has to do with arrangement. If 'n' object is to be arranged taking 'r' at a time, this can be done in
`nPr` number of ways where;

`nPr = (n!)/((n-r)!)`

Based on the conclusion above, the number of possible permutations of 9 objects taken 4 at a time will be expressed as
`9P4`.

`9P4 = (9!)/((9-4)!)\\ 9P4 = (9!)/(5!)\\9P4 = (9*8*7*6*5!)/(5!) \\9P4 = 9*8*7*6\\9P4 = 3,024\ possible\ ways`