Description for Correct answer:
The number of ways taking 5 flags out of 8 flags.

=\( 8P_5 = \frac{8!}{(8 - 5)!} = \frac{8!}{3!}\)

= \( \large \frac{8 \times 7 \times 6 \times 5 \times 4 \times 3!}{3!} = 6720\)