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Problem 373

Combinatorics Difficulty 2.0 Find the answer UKMT Grey Kangaroo · United Kingdom · 2018

A hotel on an island in the Caribbean advertises using the slogan '350 days of sun every year!' According to the advert, what is the smallest number of days Will Burn has to stay at the hotel in 2018 to be certain of having two consecutive days of sun?

(A) $17$ (B) $21$ (C) $31$ (D) $32$ (E) $35$

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