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at the ace sercurity company, each ID badge has 3 letters, which appear consecutively and alphabetically in order, followed by 3 digits from 1...

at the ace sercurity company, each ID badge has 3 letters, which appear consecutively and alphabetically in order, followed by 3 digits from 1 through 7 with no repetition and in any order. how many different ID badges are possible?

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