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Problem 365

Combinatorics Difficulty 2.0 Find the answer UKMT Pink Kangaroo · United Kingdom · 2017

A certain maths teacher has a box containing buttons of three different colours. There are 203 red buttons, 117 white buttons and 28 blue buttons. A student is blindfolded and takes some buttons from the box at random. How many buttons does the student need to take before he can be sure that he has taken at least 3 buttons of the same colour?

(A) $3$ (B) $4$ (C) $6$ (D) $7$ (E) $28$

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