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UKMT Pink Kangaroo, 2024

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

Matthew rolled a normal die $24$ times. All numbers from $1$ to $6$ came up at least once. The number $1$ came up more times than any other number. Matthew added up all the numbers. The total he obtained was the largest one possible. What total did he obtain?

(A) $83$ (B) $84$ (C) $89$ (D) $90$ (E) $100$

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