Library / /57 of 121

, 2025

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

Sam has some dogs, some rabbits and some cats. Eight of his pets are not dogs, five of them are not rabbits, and seven of them are not cats. How many pets does Sam have?

(A) $10$ (B) $11$ (C) $15$ (D) $16$ (E) $20$

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

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.