Maths Olympiad Prep

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Problem 59

Combinatorics Difficulty 1.0 Find the answer UKMT Pink Kangaroo · United Kingdom · 2015

Petra has three different dictionaries and two different novels on a shelf. How many ways are there to arrange the books if she wants to keep the dictionaries together and the novels together?

(A) 1212 (B) 2424 (C) 3030 (D) 6060 (E) 120120

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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, ordering) added by this project. Solutions are the publisher's, linked not copied.