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Mathematics, 05.08.2019 18:30 Dweath50

Aplanned community has 150 homes, each with an automatic garage door opener. the door opener has seven switches that a homeowner can set to 0 or 1. for example, a door opener code might be 1001100. assuming all the homes in the community are sold, what is the probability that at least two homeowners will set their switches to the same code, and will therefore be able to open each other's garage doors?

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