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UKMT Intermediate Mathematical Challenge, 2016

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A list of positive integers has a median of 8, a mode of 9 and a mean of 10. What is the smallest possible number of integers in the list?

(A) $5$ (B) $6$ (C) $7$ (D) $8$ (E) $9$

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