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UKMT Junior Kangaroo, 2022

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

Claudette has eight dice, each with one of the letters P, Q, R and S written on all six faces. She builds the block shown in the diagram so that dice with faces which touch have different letters written on them. What letter is written on the faces of the one dice which is not shown on the picture?

(A) $P$ (B) $Q$ (C) $R$ (D) $S$ (E) It is impossible to say

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