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  • How many different signals can be made by hoisting 6 differently coloured flags one above the other, when any number of them may be hoisted at one time?

How many different signals can be made by hoisting 6 differently coloured flags one above the other, when any number of them may be hoisted at one time?

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No;of;ways;for;hoisting;6;different;flags;out;of;6;given;flags,\*Rightarrow _^6 extrmP_6=720 ;ways.\* No;of;ways;for;hoisting;5;different;flags;out;of;6;given;flags,\*Rightarrow _^6 extrmP_5=720 ;ways.\* No;of;ways;for;hoisting;4;different;flags;out;of;6;given;flags,\*Rightarrow _^6 extrmP_4=360 ;ways.\* No;of;ways;for;hoisting;3;different;flags;out;of;6;given;flags,\*Rightarrow _^6 extrmP_3=120 ;ways.\* No;of;ways;for;hoisting;2;different;flags;out;of;6;given;flags,\*Rightarrow _^6 extrmP_2=30 ;ways.\* No;of;ways;for;hoisting;1;different;flags;out;of;6;given;flags,\*Rightarrow _^6 extrmP_1=6 ;ways.\* Hence,;total;number;of;signals=720+720+360+120+30+6=1956 ;ways

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Deependra Verma

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