Answer:
There are 362880 different of ways the flags can be arranged in a row
Step-by-step explanation:
Given
Number of flags = 9
Required
Number of arrangements
The question talks about arrangements, this means we're dealing with permutations.
Provided that all flags are distinct, each of the 9 flags can be arranged in 1! way each.
All 9 flags can be arranged in
(1!)^9 = 1 (this number is negligible)
All in all, the total 9 flags can be arranged "collectively" in a row in 9! ways
Calculating 9!
9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
9! = 362880
Hence, there are 362880 different of ways the flags can be arranged in a row
