How do I arrive at this answer? (flag sequences)

tsh44

Junior Member
Joined
Sep 4, 2005
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67
A boat has 3 red, 3 blue, and 2 yellow flags with which to signal other boats. All 8 flags are flown in various sequences in order to denote different messages. How many sequnces are possible?

THe answer should be 560 but I do not understand how ti get that. Thanks for any help:)
 
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