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Combinatorics Difficulty 1.0 Junior Find the answer United Kingdom

How many different totals can be obtained by rolling three standard dice and adding up the scores?

(A) $14$ (B) $15$ (C) $16$ (D) $17$ (E) $18$

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.