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Ships of the navy of Outer Tyrania communicate at sea via code signals transmitted by flags, as follows: each ship has six flags (the same

Ships of the navy of Outer Tyrania communicate at sea via code signals transmitted by
flags, as follows: each ship has six flags (the same set of six flags is on every ship); a
code is formed by choosing three flags and arranging them, from top to bottom, on the
mainmast. How many different codes are possible?

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