Residents of a condominium have an automatic garage door opener that has a row of eight buttons.
Question:
Residents of a condominium have an automatic garage door opener that has a row of eight buttons. Each garage door has been programmed to respond to a particular set of buttons being pushed. If the condominium houses 250 families, can residents be assured that no two garage doors will open on the same signal? If so, how many additional families can be added before the eightbutton code becomes inadequate?
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