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The king has 11 (different) colored flags that he uses to send coded messages to his general in the field. For example, blue-green-red-white might mean "attack at dawn" and white-red-green-blue may mean "retreat." He sends the message by arranging four of the flags atop the castle wall. How many coded messages can the king sent?

Answer :

Answer:

V₁₁,₄  = 7920

Step-by-step explanation:

Mssages from the King need of the adecuate sequence that means

blue-green-red-white      and   white -red- green-blue are differents messages therefore we are in presence of a vaiations problem

V₁₁,₄  =     11!/ (11-4)!

V₁₁,₄  = 11! / 7 !        ⇒  V₁₁,₄  = 11*10*9*8*7!/7!      V₁₁,₄  = 11*10*9*8

V₁₁,₄  = 7920

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