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tmua.fyi Paper 2 Challenge 2 · Q13

Paper 2Algebra

On an island there are 1313 red, 1515 green and 1717 blue chameleons. Whenever two chameleons of different colours meet, both change to the third colour; nothing else changes a chameleon's colour. Which of the following states can be reached?

AAll 4545 red.
BAll 4545 green.
CAll 4545 blue.
D1515 of each colour.
E2222 red, 2222 green and 11 blue.
FAny one of “all red”, “all green” and “all blue”.
G“All green”, but neither of the other two single-colour states.
HNone of the states listed above.

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