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A seven-person committee composed of Maya, Grace, Jonah, Zig, Esme, Miles, and Tristan is to select a chairperson, secretary, and treasurer. How many selections are

A seven-person committee composed of Maya, Grace, Jonah, Zig, Esme, Miles, and Tristan is to select a chairperson, secretary, and treasurer. How many selections are there in which at least one office is held by Maya or Grace? Assume that each person can hold at most one office.

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