Question

How many different signals can be sent using any number of flags from $5$ flags of different colors

• A. $195$
• B. $720$
• C. $325$
• D. $625$

Answer 1

Answer: (C)

$325$

Number of flags $=5$

Number of signals that can be given with any number of flags

${\Rightarrow }^5{P}_1{+}^5{P}_2{+}^5{P}_3{+}^5{P}_4{+}^5{P}_5\Rightarrow 5+20+60+120+120\Rightarrow 325$

Therefore tne number of possible signals $=325$

Hence the correct answer is $325$