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Problem 105

Combinatorics Difficulty 1.0 Find the answer UKMT Junior Mathematical Challenge · United Kingdom · 2018

A train carriage has 80 seats. On my journey I noticed that all the seats in my carriage were taken and 7 people were standing. At Banbury, 9 people left the carriage, 28 people entered it and all seats were taken. How many people now had no seat?

(A) $0$ (B) $7$ (C) $16$ (D) $26$ (E) $35$

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