Question

How many signals can be made by $5$ flags from $8$ flags of different colors?

• A. $6720$
• B. $6750$
• C. $8^5$
• D. $5^8$

Answer 1

The correct option is A $6720$

Total number of ways taking $5$ flags out of $8$ flags.

${}^8{P}_5=\frac{8!}{3!}$

$=\frac{8\times 7\times 6\times 5\times 4\times 3!}{3!}=6720$