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Since the resident has 11 chances, the vice president has 10 chances, and the treasures has 9 chances, then there are 11 x 10 x 9 = 990 way of choosing them.

Or, 11P3 = 11!/(11 - 3)! = 11!/8! = (11 x 10 x 9 x 8!)/8! = 11 x 10 x 9 = 990

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