Question

Find the total number of signals that can be made by five flags of different color when any number of them may be used in any signal.

• A. $325$
• B. $255$
• C. $300$
• D. $350$

Answer 1

The correct option is A $325$

$5$ Flags

Number of signals

${}^5{P}_1{+}^5{P}_2{+}^5{P}_3{+}^5{P}_4{+}^5{P}_5=5+20+60+110+120=240+80+5=320+5$

$=325$ Ways

Therefore number of signals $=325$