Dates at a Wedding Reception

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At a wedding reception, each of 11 guests brought a different individual as a date. If 5 people leave the reception early, what is the greatest possible number of guests remaining with their original dates?

Review: Dates at a Wedding Reception


Explanation

In this socially awkward situation, guests are possibly leaving without their dates, and vice versa. We have 22 people total, and 5 people leave, so we have 17 people remaining. Since the date-guest groups are pairs, 8 guests maximum still have their date, with a stray person left who may be a guest or a date. That's the rosiest possible situation, as the question is asking for.

The correct answer is (B).


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