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UKMT Intermediate Mathematical Challenge, 2018

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

A list of 5 positive integers has mean 5, mode 5, median 5 and range 5. How many such lists of 5 positive integers are there?

(A) $1$ (B) $2$ (C) $3$ (D) $4$ (E) $5$

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